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プレプリどんどん: math.CA

A Mathematics and Science podcast

#37 in Mathematics · 🇯🇵

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arXivのmath.CA (古典解析と常微分方程式) の新着論文の概要をAIで日本語でお届けするポッドキャストです。情報収集にお役立てください。 (AIで生成していますので必ずしも正しいとは限りません)

Newest episodes

終点と重みと測度と多項式構造 - 2026/11/11の論文11本

Nov 11, 2026 20 min

arXiv math.CAの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-11/ A Counterexample to Polynomial Approximation for Monotone WeightsFailure of endpoint estimates for lacunary bilinear spherical maximal functions on Heisenberg groupsWeak $L^{2/3}$ bounds for the bilinear Hilbert transformOn the proof of Falconer distance conjectureImprovement to characterizations of BMO in terms of endpoint bounds for commutators and some counterexamplesA resolution of the Erd\H{o}s similarity problem in the largeMonotone Rearrangement for Flattening Weights $F_2$An elliptic deformation of continued fractionsTransforms between multivariate Laguerre and Meixner polynomials and their applications to gatewaysAverage and probabilistic linear widths of sequence spaces with a Gaussian measureRectifiable measures in Ahlfors regular spaces: endpoint constructions

作用素と関数とシャープな評価 - 2026/11/10の論文23本

Nov 10, 2026 40 min

arXiv math.CAの新着論文23本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-10/ An Alternative Proof of the SPR Synthesis Theorem for Polynomial Segments of Arbitrary OrderOn the multivariate hypergeometric function $F_K^{(L)}$, INonlocal bilinear differential operators induced by a third order hypermetric in $\mathbb{R}^n$Optimal orders for Hilbert-valued Littlewood--Paley functions of symmetric semigroupsSchauder exponential basis which is not RieszA Quarter-Power Bound for Chowla's Cosine ProblemFefferman-Stein Type Distribution Function Inequalities on Product SpacesUncertainty principle on $\mathbb{T}^m \times \mathbb{R}^n$The bilinear Hilbert transforms are not of restricted weak type $(1,1,1/2)$Random Configurations and Fourier DecouplingThe solution of the Bochner--Krall problemPointwise estimates for an anisotropic product type singular integral on the sphereAsymptotics of matrix orthogonal polynomials with non-scalar varying weightsTranslation continuity for the local bilinear circular maximal operatorGlobal zero distribution and pluripolar exceptional cones for complex linear differential equationsSharpness of the Martin-O'Bryant autoconvolution inequalitySecond-Order Linear $q$-Difference EquationsOn the lower bound for the $L^1$ norm of Liouville exponential sums. IISharp Rates for Optimal Recovery of Bandlimited Functions from Localized OversamplingOn the sharp weak-type inequality for Riesz transformsDiophantine conditions for absolute continuity of projections for self-similar measuresBudan--Fourier theorem for circuit polynomial systemsGlobal Asymptotics of a Toda Soliton Condensate with Random Scattering Data

不等式と解析とネットワークの構造 - 2026/11/9の論文5本

Nov 9, 2026 9 min

arXiv math.CAの新着論文5本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-09/ Fractional Fefferman--Stein inequalities on infinite rooted $k$-ary treesWalsh Analysis in the Twenty-First Century: Convergence, Summability, Nonlinear Approximation, Universality, and Digital ApplicationsA sharp weighted $L^2$ Bernstein inequality for partial derivatives on the unit ballLiouville transforms for ordinary differential equations with distributional coefficientsOn the (non-)closedness of the set of ReLU networks

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All episodes

終点と重みと測度と多項式構造 - 2026/11/11の論文11本

Nov 11, 2026 20 min

作用素と関数とシャープな評価 - 2026/11/10の論文23本

Nov 10, 2026 40 min

不等式と解析とネットワークの構造 - 2026/11/9の論文5本

Nov 9, 2026 9 min

幾何とフーリエ不等式と非可換組合せ論 - 2026/11/6の論文12本

Nov 6, 2026 22 min

arXiv math.CAの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-06/ Resolving Tusn\'ady's ProblemThe square function estimates for cones in arbitrary dimensions and elliptic quadricsGroup-free radial Kunze-Stein phenomenon on affine buildingsDarboux transformations of linear birth-death processesParameter-dependent inhomogeneous boundary-value problems in spaces of continuously differentiable functionsAn interpretation of the BMO boundedness of H\"ormander--Mikhlin multipliersFourier inequalities and sign uncertainty IICombinatorics of noncommutative harmonic oscillator determinantRecovering the Length of a Path from its SignatureUniqueness of Extremizers and Convergence of the Euler-Lagrange Iteration for the Critical Hardy-Littlewood-Sobolev InequalityFourier level inequalities on the discrete cube via complex hypercontractivity and Riesz transformsSpectral Regimes of Truncated sinc-Power and Pulse-Train Kernels: Edge Exponents, Per-Edge Plunges, and the Landau-Widom Limit

マルチンゲールと非局所演算子と固有値 - 2026/11/5の論文7本

Nov 5, 2026 13 min

arXiv math.CAの新着論文7本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-05/ Homogeneous Polynomial Carleson Operators Along the ParaboloidMacroscopic return-time spectra and Hausdorff dimension transitionsAn equivalence principle for martingalesParabolic Extrapolation of Compactness with Applications to Characterizations of the Parabolic CMO Space via Parabolic Fractional CommutatorsGeneralized principal eigenvalues for nonlocal operators with driftAn Exact Poisson Mixture Representation of Siler Remaining Life ExpectancyA property of boundary extensions of atomic singular inner functions

作用素と空間と幾何学的構造 - 2026/11/4の論文13本

Nov 4, 2026 25 min

arXiv math.CAの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-04/ One-Sided Hardy--Littlewood Maximal Operators on Variable Lebesgue Spaces Beyond Log-H\"older ContinuityBounds for Orthogonal Expansion Coefficients via Weighted PrimitivesPoisson area and non-tangential maximal functions on manifolds with ends and applicationsA sharp Mittag-Leffler bound for series with separated exponentsBilinear Kor\'anyi spherical maximal function on the Heisenberg groupSampling Density for Multi-window STFT Phase RetrievalArithmetic product theorems on self-similar sets of uniqueness and homogeneous Moran setsStein's generalized spherical maximal operatorLimit cycles of singular algebraic foliations on the real projective planeSharp decay of the spherical averages of the Fourier transform of open setsAn oscillation result for slightly perturbed trigonometric seriesMatrix-weighted $Z$-spaces and tent spaces:characterizations, duality and interpolationQuasiconformal distortion of the lower dimension and applications

特殊関数と解析的構造 - 2026/11/3の論文40本

Nov 3, 2026 1 hr 8 min

arXiv math.CAの新着論文40本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-03/ Ad-conditions for higher-order recurrences: Dunkl and matrix-valued settingsSecond order Heisenberg Uncertainty Principle for solenoidal fields: sharp constants, optimizers and sharp stabilityOn the properties of the potential and the spherical harmonic expansions for general planetsBilateral Christoffel-Geronimus-Uvarov formulas for mixed-type orthogonality on algebraic supportsConjectures of Bernstein and Erd\H{o}s for weighted Lagrange interpolation with Hermite weightThe Two-Point Inequality for $p>q$Some Characterisations of the Strichartz Fourier Transform on the Heisenberg GroupBochner-Riesz means for Laguerre expansionsThe sharp Stein-Tomas inequality on the circlePerfectness of partial Christoffel transforms of Nikishin systemsThe MZ-property for three-term differencesThe Marvelous Meixner Polynomials: Second Kind, First ClassA log-concavity criterion for finite nonnegative linearizationPercentile oscillations and the intrinsic square functionOn Variational Inequalities for Averages over HypersurfacesAnother Application of the Alternating Map: Time-and-Band LimitingThe signed error-sum function of tent-map expansionsThe local-to-global minimum problem of Calvert and Vamanamurthy: a quartic counterexample in three variables and the cubic case in all dimensionsOn a hybrid trilinear Hilbert transformSeparating the Polar of Sets of Uniqueness from the Polars of All $H^{(d)}$-SetsPointwise Ergodic Theorems Along $\lfloor p^c\rfloor$ for Every $c>1$Bilinear maximal functions associated with some degenerate surfaces on the Heisenberg groupThe critical line for modulation invariant bilinear multipliersOn some positivity properties of the Riemann $\Xi$ functionAny uniformly rectifiable set is contained in a set with Poincar\'e inequalityCharacterization of the group Fourier transform of Hilbert space Valued functionsHyperplane Furstenberg Sets...

不等式と点配置の鋭い解析 - 2026/11/2の論文14本

Nov 2, 2026 23 min

arXiv math.CAの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-11-02/ Sharp convex body sparse bounds and quantitative matrix weighted estimates for Hilbert transforms along curvesSimple proofs of a Gagliardo--Nirenberg inequality and their extensionsDilation systems with two generators and the optimal Riesz bounds of a basis of ReLU networksProduct Pitt inequalities and signed Boas equivalences for general monotone functionsUllman--Stahl--Totik regularity for conjugacy measuresElliptic Fekete points: separation, Riesz energies, and polynomial conditioningAsymmetric $L^p$-improving and maximal estimates for the triangle averaging operatorParabolic Reifenberg Parametrizations and Corona Decompositions, with Applications to Singular IntegralsAdversarial Wronskians: A proof of the Kung--Traub conjectureSharp Nonlocal Poincar\'e Inequalities and Liminf Lower Bounds for Sobolev and BV Energies on Metric Measure SpacesThe full shadow of a polynomial II. Vanishing root masses and holesLocal Smoothing Estimates of Schr\"{o}dinger Operators on Waveguides Using Refined DecouplingTruncated Dirichlet estimates for Bloch functionsTiling without a subspace complement: a sharp counterexample in dimension nine over the field with two elements

作用素と幾何と特殊関数の研究 - 2026/10/30の論文36本

Oct 30, 2026 1 hr 13 min

arXiv math.CAの新着論文36本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-30/ Diffraction of rotated measuresExponential decay of threshold correlations for symmetric periodic functionsEndpoint estimates for spherical maximal operators acting on radial functions in hyperbolic spacesOn $q$-middle convolution and generalized $q$-hypergeometric equationArithmetic classification of the Dirichlet eigenvalues for a one-dimensional nonlocal $p$-Laplacian problemMatrix orthogonal polynomials related to diffference operators for $L$-orthogonal polynomialsApproximating the poles of a Painlev\'e V transcendent for the Fredholm determinant of the sine kernelSparse domination for $q$-variation associated with functional calculusUncertainty principles as forcing mechanismsAn involution for recurrences of Tricomi and other special functionsA Hierarchical Online-Compression Approach to Proportional Subsets of Bounded Orthonormal SystemsSparse domination and an extended $L^p$ range for the trilinear Hilbert transformPhase Retrieval of Bandlimited Signals Using a Morlet Wavelet and an Admissible CompanionSharp derivative inequalities for maximal functionsOn certain mapping properties of a weighted totally geodesic $k$-plane transform on the real hyperbolic spaceInverse scattering problem for the fifth-order Schr${\rm\bf\ddot{o}}$dinger operator on the whole axis$L^p$ integrability of functions with Fourier support on High codimension manifoldsThe S-function at arbitrary order: hyperplanes of symmetries and the realisability conditionFailure of the $H^1\times H^1\longrightarrow L^{1/2,\infty}$ estimate for the lacunary bilinear spherical maximal function and applicationsTangential center problem for planar Hamiltonian differential equationsCountable unions of intervals without Riesz spectraBilinear operators along variable curvesFinite-rank rigidity and Nash-curve discreteness for correlation potentialsDifferentiation and Shift Property Ch...

フーリエ解析と関数空間と幾何学的構造 - 2026/10/28の論文14本

Oct 28, 2026 27 min

arXiv math.CAの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-28/ Two-sided logarithmic estimates of the Lebesgue constants with respect to Vilenkin systemsA Separated Bump Theorem in $L^2$Spherical Averages on nilpotent GroupsSharp global $L^2$ estimates for oscillatory integral operators with quasi-homogeneous phasesSharp helical maximal estimates in all dimensionsNonlinear uncertainty principleOn Borodin-Gorin presentation of Heckman-Opdam $\mathfrak{gl}_n$ hypergeometric functionExact $L^2$ convergence through the wavelet and tent space characterizations of $h^p(\mathbb{R}^n)$, $0An approximate inner ball condition characterizing $C^{1,\alpha}$ convex bodiesA fractional modular Poincar\'e--Wirtinger-type inequality in Sobolev spaces with variable exponentsCharacterization of Fourier transform of Hilbert space Valued functionsSpectral delocalization and central limit theorems for Fourier functionals of stationary Gaussian fieldsThe Assouad Dimension of Graphs: An Affirmative Answer to Fraser's QuestionApplications of the fixed point theorem for mappings contracting perimeters of triangles: ODEs, PDEs, integer and difference equations

作用素と空間の構造と幾何学的解析 - 2026/10/27の論文19本

Oct 27, 2026 37 min

arXiv math.CAの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-27/ Extremal cosine sign correlationsOn the positive Lebesgue measure of (n,k,t)-setsThe endpoints $p_-=1$ and $p_+=\infty$ for the maximal operator on $L^{p(\cdot)}$ over spaces of homogeneous typeSharp Quantitative Weighted Estimates for Lifted Maximal Operators with ApplicationsOn transformations of Kamp\'e de F\'eriet functions with integral parameter differencesThe $C_p$ conjecture of MuckenhouptIndependent powers and bounded Fourier partial sums in $L^1$Sharp $L^p$--$L^q$ bounds for the strong circular maximal operatorCarleson duality and endpoint structure of Euclidean flag Triebel--Lizorkin spacesFalconer estimate for circular and cinematic Furstenberg problemMultilinear extrapolation on Banach function spacesSurvey on Favard length and rectifiabilityEndpoint gradient bounds for centered convex maximal operators and probability kernelsWeak Hurwitz stability of extended Tur\'an expressions for Stirling--Whitney--Riordan and Laguerre polynomialsAttainable forms of intermediate dimensions of complementary setsRational limit of Rains integrals of type $A_n$Optimal Riesz mean inequalities for the Coulomb HamiltonianGeometric progressions in distance sets in odd dimensions over prime fieldsParabolic Rectifiable Reifenberg for Measures

作用素と重みと幾何と測度 - 2026/10/26の論文16本

Oct 26, 2026 31 min

arXiv math.CAの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-26/ Pointwise Riesz potential bounds for rough singular integralsSobolev Orthogonal Polynomials on the unit circle with varying inner productPinned configuration sets and slicing theorems via Fourier integral operatorsCoefficient duality and interpolation of Euclidean flag Besov spacesWeak-$L^\infty$ and BMO with Hausdorff ContentRiesz Transform Bounds Imply Parabolic Uniform Rectifiability of GraphsDimension-free bounds for maximal operators associated to log kernel and applicationsProperties and applications of Muckenhoupt $A_1$ growth weightsWeighted decoupling inequalities via fractal bilinear Kakeya estimatesRational $S$-functions for second order ODEs with non-Liouvillian first integralsSharp Projection Bounds for Intermediate Dimensions of MeasuresLacunary maximal operators on convex boundariesA direct proof of the equivalence of the A2 and the Helson--Szego conditionsAdditive energy and Fourier complexity of graphsDisplacement structure and eigenvalue bounds for multiband prolate matricesGagliardo--Nirenberg extremals on manifolds with small holes

作用素と重みとフーリエと幾何学 - 2026/10/23の論文17本

Oct 23, 2026 36 min

arXiv math.CAの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-23/ Covering lemmas associated to maximal operators of weak typeExplicit Measurable Counterexamples to Finite-Difference EquationsWeighted boundedness of maximal operator associated with invertible linear transformations on variable Lebesgue spacesA general quantified Wiener-Ikehara theoremSharp Variational estimates for Schr\"{o}dinger equation in $\mathbb{R}^{2}$Endpoint weighted Fourier estimate with vanishing spherical traceIntegral representations of high-order derivatives of Bessel functions with respect to the orderStability of Fourier Restriction for a Class of Finite Type Surfaces in $\mathbb R^3$A sharpened $L^8_t L^4_x$-Strichartz estimate for even initial dataModuli spaces of logarithmic connections associated with difference Painlev\'e equations of type $E^{(1)}_n$Dual medial axes in finite-dimensional normed spacesComplete conformal metrics of constant positive scalar curvature with prescribed isolated singularitiesOpen dynamics with a moving hole: inhomogeneous IFS and exponential separation conditionGrushin spherical harmonics in non-degenerate dimension oneOptimal Hardy weights for the fractional discrete Dirichlet Laplacian on the half-lineA spectral multiplier theorem for fractional Hardy operatorsConvex Bernstein limits and sharp recovery on expanding intervals

集合と射影と解析的推定 - 2026/10/22の論文8本

Oct 22, 2026 17 min

arXiv math.CAの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-22/ Same Gaps, Different Sets: A Survey on Complimentary sets and their DimensionsStability for the adjoint Finner inequality and improved lower bounds on the $k$-plane transform$q$-middle Laplace transform and its applicationsDuality in Harmonic Analysis and beyondA bounded Borel set in the plane none of whose orthogonal projections is BorelOn the gradient conjecture at infinity: Finite spherical length for gradient trajectories of definable potentialsSharp spherical $L^p\to L^4$ extension estimates over finite fields in odd dimensionsHigher rank spectral projector estimates and a Stein--Tomas restriction theorem

幾何的構造と解析的推定の統合 - 2026/10/21の論文18本

Oct 21, 2026 37 min

arXiv math.CAの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-21/ Endpoint maximal estimates for the half-wave propagatorDiagonal and branchwise criteria for universal Fourier seriesSharp estimates for imaginary powers of discrete LaplaciansA self-dual Dunkl wavelet frame and Besov--Triebel--Lizorkin spacesQuicksilver Asymptotics and Pole Arrays for $q$-Painlev\'e IIGlobal Mizohata-Takeuchi for Indicator Weights of Bounded Complexity in $\mathbb{R}^2$Sharp boundedness criteria for nonnegative kernels on regular curves in the Heisenberg groupThe strong type endpoint estimate for the local spherical maximal functionAlmgren minimality of products of simplex-skeleton conesThe Fourier restriction problem for biradial functionsRemarks on space curve $L^2$ Fourier restrictionOne-Ring Bourgain Alternative And A 5-Decimal Bound On The Dimension Of Harmonic MeasureSpherical harmonics and infinitesimal projective transformationsCounting Bessel zeros and applicationsNew Newton-type inequality and a unified perspective on Maclaurin's inequality via the inclusion relations of conesOn spatially irregular ordinary differential equations and a pathwise volatility modelling frameworkInvariant pseudo-unitary matrix ensembles and local statistics and conductance fluctuations of the DMPK ensembleSharp Bounds for Nodal Sets of Steklov Eigenfunctions on Smooth Surfaces

作用素と多項式と関数空間と評価 - 2026/10/20の論文16本

Oct 20, 2026 27 min

arXiv math.CAの新着論文16本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-20/ Fuglede's conjecture holds in $\mathbb{F}_2^7$Time-and-band limiting for symmetric classical Dunkl orthogonal polynomialsend point estimates for the bilinear circular averaging operatorLyapunov-Krasovsky Functionals and the Existence of Unbounded Solutions of Functional-Differential Equations of Retarded TypeAsymptotics of Weighted Bergman Polynomials under Finite RegularityA curved three-dimensional simplex Hilbert transformOn the frequency function of periodic quasianalytic and non-quasianalytic functionsAdvancing the Theory of Sheffer Sequences via Dual Pad\'e Rational ApproximantsThe $(n-2)$-linear restriction estimate in $\mathbb R^n$Diamond Maximal Operators: Classification, Moduli, and Oscillation EnvelopesBoundedness of nonregular bilinear pseudodifferential operators on variable Besov and Triebel--Lizorkin spacesNoncommutative maximal weak type $(1,1)$ estimates for convolution operators under $L_1$-H\"ormander conditionsThe global structure of bi-rotational self-shrinkersLimits of Besov Norms on Quantum Euclidean SpacesThe Riemann zeta function at the zeros of real-rooted trigonometric polynomialsMuckenhoupt weights for the Hardy-Littlewood maximal operator on hyperbolic spaces

不等式と作用素と測度 - 2026/10/19の論文18本

Oct 19, 2026 37 min

arXiv math.CAの新着論文18本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-19/ Cross-ratios and first order ordinary differential equationsSemialgebraic ${C^m}$ solutions to a univariate system of linear inequalities with Nash forcingNearly Sharp Uniform Projection Bounds and Superlinear Vitushkin Inequalities for Deterministic Self-Similar SetsInteger Parameter Shifts in One-Variable Restrictions of Lauricella's $F_C$Stieltjes-generated moment functionals and orthogonality: a transfer principle and an image theoremEndpoint Lorentz Inequality for Riesz Potentials with Respect to General MeasuresQuantitative maximal $\mathrm{L}^p$-regularity for generators of real contraction semigroupsDisproof of Wright's Problems 14 and 15 on lacunary maximal functionsOrthonormal maximal estimates for fractional Schr\"odinger operators along H\"older curvesMaximal estimates of the Schr\"odinger operators with quadratic potential for orthonormal systemsSharp $L^6$ Fourier moments and (3,$\delta$)-energy estimates for fractal measures on the truncated cone in $\R^3$Probabilistic Fourier extension and the Schr\"odinger equationFolding to the Bessel-Clifford system, and Equivariant Topological RecursionImproved $L^p$ maximal estimates for higher-degree Weyl sumsOn the asymptotic growth of the norm of the partial sum operator on $\mathscr H^1$Asymptotic gradient regularity for degenerate or singular fully nonlinear parabolic equationsConstructions and reductions on the Hornich-Hlawka inequality and its generalizationsOn extremal problems related to the Krzy\.{z} conjecture

制限推定と幾何学的な問題 - 2026/10/16の論文12本

Oct 16, 2026 23 min

arXiv math.CAの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-16/ Weighted Fourier capacities and Frostman restriction estimatesThe $(n-1)$-linear restriction estimate in $\mathbb{R}^n$ with degenerate curvatureFourier decay and endpoint estimates for lacunary maximal operatorsFunctions of bounded variation are not dense in the Strong BD NormB\'ezout bounds and rational points on quasianalytic graphsVisible parts and projections of the affine fractal percolationA geometry-independent endpoint estimate for the Littlewood--Paley $g$-function generated by the Poisson semigroupTauberian rates and the Baire property of idealsA quantitative form of the planar Falconer distance theoremSeven Limit Cycles in a Periodically Forced Three-Zone EquationOptimization of a Perturbed Implicit Sweeping Process by Constrained Discontinuous ControlsSchwarz $\mathrm{P}$ and Schwarz $\mathrm{D}$ as free-boundary minimal disks in a tetragonal disphenoid: exact areas

作用素と測度と零点 - 2026/10/15の論文15本

Oct 15, 2026 30 min

arXiv math.CAの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-15/ A proof of Karp's conjecture on the zeros of Toeplitz determinants of rising factorial seriesThe zeros of point evaluation extremals in Paley-Wiener spacesSparse bounds for rough non-translation-invariant Calder\'{o}n-Zygmund operatorsSharp radial--angular mixed norm Fourier extension and global stability on spheresEndpoint regularity of Radon transforms associated with real analytic phases in the planeElementary ratio and zero limits for varying recurrencesOld structures, a vanishing formulaCharacterization of $C^{1,\alpha}$-domains in terms of Carleson-type $\varepsilon$-coefficientsGaussian rigidity and width of measuresPacking intermediate dimensions of measures and applicationsA sharp discrete Sobolev inequality and left inverses of higher order differencesUniqueness of Limit Cycles for Abel Equations and Planar SystemsFractional elementary symmetric functions and Hessian estimates in the planeWeak type $(1,1)$ estimates for Riesz transforms of elliptic operators and magnetic Schr\"odinger operatorsEntire solutions of higher order Briot-Bouquet equations

重み付き作用素と多様体上の解析 - 2026/10/14の論文36本

Oct 14, 2026 1 hr 8 min

arXiv math.CAの新着論文36本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-14/ Hypergeometric solutions to coupled Klein-Gordon equations in cosmology with small-field excursionsOn the variation and asymptotics of maximal functionsEndpoint power weight inequalities for spherical maximal functionsWeighted Norm Inequalities for Maximal Multi-sublinear Rough Singular IntegralsCone restriction via direction-restricted two-ends Furstenberg estimatesCoding multiplicity in self-similar sets on the lineFiniteness of Fuchsian equations with unitarizable monodromy on compact Riemann surfacesAsymptotic analysis of the confluent Dotsenko-Fateev systemThe manufacture of examples II: the "para-classical" orthogonal polynomialsSchatten--Lorentz properties of commutators with matrix weightsReverse H\"older Class and Two-Parameter Good-$\lambda$ Inequality over Hausdorff ContentTranslational self-affine tiles in $\mathbb{R}^n$$L^p$-weighted cone restriction estimatesTwo-weight T1 theorem for fractional Riesz transforms: one measure supported on a $C^{1,\mathrm{Dini}}$ curveOn Mattila's intersection problem in the plane: sharp dimension and positive measure of rotated difference setsMulti-scale analysis for multilinear operatorsVanishing Events and Regularity-Conditioned Reachability in Linear Stieltjes SystemsContractivity of Rudin's diagonal restriction operator for $H^p$ of the polydiscCubic moments of eigenfunctions on surfacesA Sharp Lower Bound for Integral Menger CurvatureWeak type (1,1) bound criterion for maximal truncated singular integral operators with rough kernelsDiscrete intermediate dimensions: endpoints, spectra and quasi-isometric invarianceWeighted norm inequalities for operators with new Muckenhoupt type weights in the Bessel setting and applicationsCompactness and essential norms for two-weight fractional Riesz transforms on curvesA proof of Kahane's conjecture in the Wiener algebraMultiple non-collision periodic solut...

Kakeyaとフーステンベルクと多項式 - 2026/10/12の論文14本

Oct 12, 2026 29 min

arXiv math.CAの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-12/ New bound on the Hausdorff dimension of Kakeya sets in $\mathbb{R}^4$A higher-dimensional Schr\"odinger maximal estimate along families of bi-Lipschitz curvesThe square function estimate for the cone in four dimensionsLimit cycles of slow-fast quintic Lienard systemsSharp power-weight estimates for the fractional spherical maximal operatorHsiang cubics as spherical Chebyshev polynomials: equioscillation and idempotent quadratureSpread-out Furstenberg sets I: the sticky caseSpread-out Furstenberg sets II: general configurations and fractal restricted projectionsThe second type of power mean bounds for the hypergeometric meanCharacterizing higher-dimensional H\"older domains via spherical geometric functionsVolume stability of plank coversHigh-Index Asymptotics of Mathieu Spectral Gaps and SplittingsReasonable bounds for Restricted Polynomial Progressions in $\mathbb F^n_p$Dimension-free Markov--Bernstein-type inequality for $\mathbb R^2$-valued polynomials

特異積分とフラクタル構造の解析 - 2026/10/9の論文17本

Oct 9, 2026 31 min

arXiv math.CAの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-09/ The Kakeya problem for codimension-two planes in $\mathbb{R}^n$Multilinear rough singular integral operators may not be of the weak type at the endpointRevisiting Positive Exponent power weighted Stein-Weiss inequalities in $L^1$Fourier Restriction Beyond Dimension Data: A Multiscale Moment CriterionOn a control problem for two orthogonal nets of curves in the planeBox dimension profiles and intermediate dimensionsFourier quasicrystals with positive integer masses are sections of Lee-Yang cyclesThe Erd\H{o}s-Falconer distance problem in the integer latticeEquidistribution of number theoretic point sets in the torus and the sphere in Wasserstein metric and $L^2$ discrepancyUniversal Radial Laws for Random Polynomials: Erd\H{o}s Problem #522 and Non-Universal FluctuationsBounds on the maximum number of limit cycles of piecewise linear Lienard systems II. The discontinuous caseHierarchical Melnikov Realization: Logarithmic Factor Improvement to Hilbert Number Lower BoundsA Computationally-Efficient Closed-Form $C^{s,1}$-Extension FormulaMeasurable obstructions for unmeasurable colouringsDirected fractal percolation and non-Lipschitz variantsEstimates on Fully Nonlinear Elliptic Equations with Unrectifiable Exceptional Gradient SetsGlobal asymptotic stability of homogeneous polynomial vector fields is undecidable

特殊関数と幾何構造と解析的界 - 2026/10/8の論文13本

Oct 8, 2026 28 min

arXiv math.CAの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-08/ Positive-measure intersections of Bedford-McMullen carpets under similitudesSparse domination modulo polynomialsOn an infinitely divisible distribution involving modified Bessel functionsA method for generating multivariate multiple orthogonal polynomialsBounds on the maximum number of limit cycles of piecewise linear Lienard systems I. The continuous caseOn $L^p$ norms of maximal operatorsGalois descents of certain multiple polylogarithmsA sharp spectral multiplier theorem on the Engel groupA family of Hurwitz polynomial vector fields in $\mathbb{R}^3$ having non-constant periodic orbitsThe full shadow of a polynomial I. The limiting core and the transient setSharp Hilbert transform norms on Schatten classes: classification and optimal spectral correctionsCollapse and saturation for radial nodal solutions of a Lorentz--Minkowski mean curvature equationExact bounds on the distribution function of isotropic log-concave distributions

鋭い境界と特殊関数と幾何的構造 - 2026/10/7の論文17本

Oct 7, 2026 33 min

arXiv math.CAの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-07/ Some New Sharp Boundedness Result Concerning Linear functionals on Banach spacesEquilibria of Inverse-Square Repulsion on the Line Are Arithmetic ProgressionsFull-Range $\Gamma$-Convergence of Weak-Type Nonlocal Functionals$\mathcal C^m$ solutions of semialgebraic equations on curvesA Proof of McLeod's 1959 Conjecture on Complete Homogeneous Symmetric RatiosA Mizohata--Takeuchi-type estimate for the hyperbolic paraboloidSharp two-sided bounds for the product of modified Bessel functions and for its logarithmic derivativeCounterexamples to Hardy--Littlewood maximal inequalities on solvable groupsModuli of smoothness and growth of the Laguerre transform: two-sided estimatesAlmost sparse operators and Bergman projectors on treesPositive Bidiagonal Factorizations and Mixed-Type Chebyshev Multiple Orthogonal PolynomialsLocal level sets of the Takagi-van der Waerden functionA sharp density bound for infinite convolutionsHigher additive energies on discrete cubesSampling discretization of the uniform norm for hyperbolic-cross trigonometric polynomialsKuznecov formulas for domains with fractal boundaryLiouvillian first integrals of differential equations: A Galoisian approach

測度と作用素と不等式 - 2026/10/6の論文30本

Oct 6, 2026 1 hr 0 min

arXiv math.CAの新着論文30本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-06/ A note on the asymmetric discretised ring theoremProjection theorems for macroscopic intermediate dimensionsMultiple solutions of singular periodic problemsOn the mapping properties of a radially power-weighted k-plane transformOn pointwise convergence of singular integrals of Christ-Journ\'e typeLower bounds for parameter-dependent oscillatory integrals and Fourier frames on hypersurfacesSparse domination and the bi-parameter Hilbert transformThe strong $\ell^r$ spherical maximal functionLebesgue measure of distance sets and $L^2$ ball inflationDunkl--BMO functions representable in terms of generalized balayage of Carleson measures and an applicationNull-additive sets and packing measuresAddition formula for two families of orthogonal polynomials in several variablesWeak reverse H\"older inequalities for doubling measuresA Fraction Dimensional Kakeya CompressionImproved dimension bounds for Falconer's distance problem in the planeMultilinear transference on product spaces and applicationsA uniqueness result for two-step indefinite $p$-Laplacian equationsRefinements on the Restriction and Kakeya problems range in $\mathbb{R}^4$Point Configurations in Brownian TracesPointwise Convergence of Random Ergodic Averages at the $L^1$ EndpointSharp Poincar\'e Inequalities for Families of Nonlocal Nonconvex FunctionalsBorwein-Bradley-type identities for Ramanujan-type series for $1/\pi^4$From Sharp Self-Improvement to Exact Perimeter Formulas in Bourgain--Brezis--Mironescu SpacesSharp uniform stability of the logarithmic Sobolev inequality on finite cycles and stability of the cubic Sobolev inequalityFrom the Sphere to the Grassmannian: Continuous Brascamp--Lieb Inequalities via Measure Approximation and Heat FlowExactness of weighted exponential systems with a defectCharacterization of the boundedness of the discrete Fractional maximal operator betwee...

曲線と積分と有理点とコンパクト性 - 2026/10/5の論文8本

Oct 5, 2026 18 min

arXiv math.CAの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-05/ Maximal directional singular integralsSpace curve Fourier restriction for orthonormal functionsWeak type $(1,1)$ bounds for oscillatory singular integrals with rough kernelsSharp rational points counting near nondegenerate curves in $\mathbb{R}^n$Counterexamples for Rational Points Near CurvesInput-Endpoint Compactness and Essential Norms for Weighted Bilinear Hardy OperatorsCompactness and Essential Distances of Weighted Bilinear Hardy-Steklov OperatorsDifferential inclusions and the chattering phenomenon

非線形解析と幾何的距離の探求 - 2026/10/2の論文9本

Oct 2, 2026 18 min

arXiv math.CAの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-02/ Stability of concentration in the Paley-Wiener spaceStrip Decoupling Inequalities for the Paraboloid in $\mathbb{R}^3$Quantitative possibilities for Baxter's theorem in nonlinear Fourier analysisEndpoint Mapping Properties of Wave Operators for Schr\"odinger Operators in Dimensions $n\ge3$Vanishing orders of Dirichlet solutions to the Schr\"odinger equation in dimensions three and higherQuadratic distances in even dimensions over prime fieldsDecoupling and Tail Laws for Small-Order Metric-Valued Nonlocal Energies: A Structural View of the Maz'ya--Shaposhnikova FormulaAn abstract averaging method for quasilinear equationsAn averaging method for periodic solutions of quasilinear equations in Banach spaces

関数と集合と代数的な構造の解析 - 2026/10/1の論文20本

Oct 1, 2026 41 min

arXiv math.CAの新着論文20本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-10-01/ Hyperplane Incidences and Distance Sets in Higher DimensionsTur\'an type inequalities for oscillatory special functionsSharp volume bounds for BRK-type sets of surfaces of revolutionThe Minkowski $?(x)$ function and Salem's problem. IIOn planar Nikodym-type setsA Note on Capacity Muckenhoupt Weights with respect to the Hausdorff ContentNatural reparameterization and continuity of the solution map for polynomialsA Kac-Moody root system and linear ordinary differential equationsOn Entropy and Orlicz endpoint estimates and the dual Muckenhoupt-Wheeden estimateThe Pearl ensemble and the logarithmic energy on the SphereMore on dominated and microscopic setsThe Work of Hong WangWeak type $(1,1)$ boundedness of noncommutative singular integral operators with rough kernelsSmall additive groups with $A+\xi A=\mathbb R$Assouad type dimensions of generalized affine fractal interpolation functions and their applicationsExact barycentric rational interpolation of analytic functions with an application to the Bessel functionsSharp spherical extension theorem in $\mathbb F_q^{2m}$ and applicationsA stochastic Carleson embedding theorem with constant $e$ and the vector of Riesz transformsA Hartman-Grobman theorem on Banach bundlesResurgent rigidity of mock theta functions: uniqueness and natural boundary crossing

関数と作用素と幾何学的解析 - 2026/9/30の論文15本

Sep 30, 2026 33 min

arXiv math.CAの新着論文15本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-30/ Subadditive bijections on the positive realsA note on Rainwater's TheoremPositive Cubature Compression and Optimal Hyperinterpolation Stability on a Conic SurfaceAssouad and Lower Dimensions of Graphs of Weierstrass-Type Functions with Rapidly Growing FrequenciesCompactness and Essential Norms of Weighted Bilinear Hardy Operators on General IntervalsFlag multiresolutions: T1, paraproducts and commutatorsCritical Points of Line Restrictions of Signed Point-Charge PotentialsSharp Thresholds for Distance Patterns in Random Subsets of $\mathbb Z^d$Absolutely Continuous Convolutions and Projections of Fractal MeasuresBeyond Constant Truncations: The Bounded Sobolev Approximation GapPolynomial Counterexamples to Shanks' Conjecture in Dirichlet-Type Spaces over the BidiscOptimal Hardy Inequalities for Fractional $p$-Laplacians on the IntegersElementary Askey-Wilson FunctionsThe double descent and Runge phenomena in overparametrized polynomial interpolationA geometric rigidity estimate for codimension-1 immersions into spheres

不等式と作用素と関数空間と積分 - 2026/9/29の論文50本

Sep 29, 2026 1 hr 44 min

arXiv math.CAの新着論文50本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-29/ Hahn-Type Orthogonality for the Resolvent Delta Operator $\mathscr L=D(I-D)^{-1}$A component-wise inequality for permutation matchesCharacterization of the boundedness of the segment multiplier on weighted Lebesgue spacesSharp Bernstein--Nikolskii inequalities for polynomials and entire functions of exponential typeSharp lower bounds for the periodic maximal Schr\"odinger operator in higher dimensionsRigidity of reflectionless Riesz measures and Sobolev estimates for Riesz transforms on Lipschitz graphsGabor frames with no Gabor dualsEndpoint Absolute Monotonicity for the Complete Elliptic Integral of the First KindStochastic maximal $L^p$-regularity for non-autonomous evolution equations with fractional derivative in UMD spacesSharp $L^p$ estimates for the strong spherical maximal operatorLevel set estimates for strictly convex and hyperbolic functionsMollified disc multipliersDiscreteness, finite rank, and stability of p-frame energy minimizersWeighted Bernstein-type inequalities on a trapezoidal domainA Formalism for Merging Power Series in Solving Multinomial Equations: Master Series and Master NumbersFavard length of non-homogeneous random disc-like Cantor setsSharp Matrix $\mathcal A_p$ lower bounds for general non-degenerate convolution Calder\'on--Zygmund operatorsRough Singular Integrals and Marcinkiewicz Integrals on Product Spaces, with $H^1$ Characterizations on Product SpheresThe Guo-Zhang-Qi conjecture and positive Laplace kernels for a digamma power familyMonotone Sobolev functions: approximation, critical points, and level setsWeak Endpoint Estimate for Commutators of Rough Maximal Singular Integral operatorsPositive measure and level sets of the Takagi functionSharp Quantitative Matrix-Weighted Estimates for Fractional Integrals and Sobolev InequalitiesOn the Nazarov--Shcheglova Conjecture for Sharp Sobolev Inequalities: The Ca...

特異積分と不等式と直交多項式 - 2026/9/28の論文14本

Sep 28, 2026 31 min

arXiv math.CAの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-28/ Almost-orthogonal Strichartz estimates and radial improvementsDiscrete orthogonal polynomials related to Hahn difference operatorOn convergence of formal Dulac series, satisfying an algebraic $q$-difference equationFormalizing Carleson's Theorem in LeanThe Wiener norm of lifts of dense Sidon setsSharp weighted weak-type bounds for commutators of singular integralsPrescribed projections for a general class of maps and efficient covering by variable plane curvesPhase retrieval for Schr\"odinger evolutionsExtremals and stability for the Folland-Stein inequality on H-type groupsUpper and lower fluctuations in Shallit's law of leap years in Pierce expansionsAn elementary solution to the polarization problemThe derivative function of the zeta-star correspondenceOptimal stability hierarchies of the Heisenberg Uncertainty Principle for solenoidal fields and of the second order Caffarelli--Kohn--Nirenberg inequalitiesCompletely monotone negative powers of hyperbolic polynomials

不等式と測度と作用素 - 2026/9/25の論文14本

Sep 25, 2026 28 min

arXiv math.CAの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-25/ Endpoint Riesz transforms on normalized graphsOn the Alzer-Berg problem: an optimal Bernstein boundary and a uniqueness conjectureSharp power-mean comparisons for Gauss hypergeometric functionsSpectral eigenvalue problem of Cantor measures and Artin's primitive root conjectureThe ultraspherical background of the Jacobi phase expansion, in closed formCritical Hausdorff Measure for Higher-Dimensional Bedford-McMullen SubshiftsForm domination and tent space estimates for operators on the half-spaceSharp endpoint extension inequalities for the moment curve on finite fields II: an extremal property of the uniform distributionMethod I revisited: extension, continuity, and applicationsHausdorff-Young inequalities for $\mathrm{SU}(1,1)$ Fourier products indexed by binary cubesOrnstein-Uhlenbeck semigroup maximal operator on weighted $L^p$ spaceWiman-Valiron inequalities in the unit disk outside sets of finite logarithmic measureAbsolute continuity and dimension conservation for self-similar sets and measuresPreduals of weighted homogeneous Bourgain-Morrey Besov-Triebel-Lizorkin spaces associated with operators

重み付き測度とスペクトルと球面調和関数 - 2026/9/24の論文19本

Sep 24, 2026 38 min

arXiv math.CAの新着論文19本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-24/ On $C^k$ convex variants of Stein's Weighted $L^2$ Conjecture for Bochner-Riesz meansSpectrality of Weighted Measures on Two Line SegmentsSpherical harmonics, operators of multiplication by coordinates, and infinitesimal conformal transformationsSparse bounds and joint oscillation for bilinear rough commutatorsOn the Central Maximal Function in $\mathbb{R}^n$A set of points with optimal $L^2$ spherical cap discrepancyThe weak-type $(1,1)$ estimates for wave equation on $ax+b$ groupsA minimal HRT counterexample at the sharp Gelfand--Shilov thresholdDerivatives of Theta Functions and a Problem of Lyubarskii and NesThe critical mixed-arithmetic four-point HRT theoremComplex median methodBesicovitch Compression and a Quantitative Failure of Endpoint Fourier RestrictionPhase retrieval from a uniformly discrete point setA Szemer\'edi-Trotter Theorem in Arbitrary FieldsGeometric lifting and Freiman's $3k-4$ theorem in compact connected abelian groupsA proof of the Holmes-Holroyd-Ramirez cyclic-product conjectureSharp Higher Integrability Theory, Part I: The $L^p$-norm of the Beurling--Ahlfors transformMultiplicity-Weighted Moments Across a Harmonic Caustic: Closed Forms with Order-Independent BreakpointsThe Spectra of the Henze-Zirkler and Henze-Wagner Operators for BHEP Tests

直交多項式とスペクトル合成と連分数 - 2026/9/23の論文13本

Sep 23, 2026 26 min

arXiv math.CAの新着論文13本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-23/ A reciprocal-Gamma Mehler--Heine limit for Krawtchouk--Sobolev type orthogonal polynomials with an exterior mass pointSpectral synthesis with the complexity parameter in $\mathbb{Z}_N^d$Dynamical Sampling in Graph Paley--Wiener SpacesMatrix Continued Fractions from Bidiagonal FactorizationsHypergeometric Mixed-Type Multiple Orthogonal PolynomialsDunkl theory, convolution algebras, and related Markov processesVoltage and current density in a rectangle with point in- and ejection via Green's functions and $q$-analysisExponential improvements in Rado's covering problemThe dHYM equation on crepant resolutions of Calabi-Yau conesCompact sets in Banach lattices over spaces of homogeneous typeBasic Reproduction Ratios for Almost Periodic Non-Densely Defined Cauchy ProblemsRemarks on the Geometry of Sets in $\mathbb{Z}^d$ with Small Fourier $L^1$ NormThe cubic discriminant as an organizing principle for Duffing dynamics

フーリエ次元とリース変換とカケヤ集合 - 2026/9/22の論文22本

Sep 22, 2026 44 min

arXiv math.CAの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-22/ Rectifiability of the straight visible boundary and the limits of segment-based Hardy criteriaP-adic Curved Kakeya Sets, Projection Theorem and Covering NumbersA new type of deterministic Salem sets and its spectrality$P$-adic $s$-energy and Fourier dimensionOn higher-order differential equations for Laguerre-Hahn orthogonal polynomialsOn the Rajchman property of homogeneous self-affine measuresThe Coulhon--Duong conjecture for the Riesz transform on complete Riemannian manifoldsEndpoint estimates for commutators of singular integral operators associated with admissible functionsEndpoint Estimates for Commutators of the Dirichlet Riesz Transform on the Half-SpaceThe Zygmund conjecture and Rey's exponential integrability conjectureDimension-free estimates for discrete maximal functions over cubes in $\mathbb Z^d$Establishing the Polynomial Wolff Axioms for $\delta$-Separated $\delta$-Tubes With #o-minimalityUniqueness sets in weighted $\ell^2$-spaces via simultaneous approximationSome Results on Lame-Heun Spectral GeometryCollision Positivity for Three-Variable Symmetric Monomial InequalitiesOn variation functions of lacunary seriesRestricted isometry of sampled Fourier and Hadamard matrices via entropic descentSharp $L^2$-stability and gradient stability hierarchies of the $L^2$-Poincar\'e inequalities on Euclidean balls and Gaussian Poincar\'e inequalityFinite-data inverse nodal optimization in angular-momentum sectors of Schr\"{o}dinger operatorsExponential separation of self-conformal systemsSharp zero estimates for trajectories of polynomial vector fieldsA purely metric characterization of supercritical Sobolev spaces

正則性と極限とリース変換と安定性 - 2026/9/21の論文12本

Sep 21, 2026 22 min

arXiv math.CAの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-21/ Super-g-H\"older Regularity in Stieltjes Dynamics: Atomic Structure, Exact Extremal Values, and Recovery of the Stieltjes ClockSome freezing limits for Bessel functions and Bessel processes with drift of type $B_N$Strict Total Positivity of a Gauss Hypergeometric Kernel, and the Sharp Threshold for the One-Dimensional $SL(2,\mathbb{R})$ Conformal BlockA boundedness result for degenerate parabolic Riesz transforms with rough coefficientsAn Askey Scheme for Jacobi Systems of Mixed Type: Laguerre Limits of the First and Second Kinds and Hermite LimitsKakeya and Furstenberg problems for sticky sets of tubesAn $m^{2.943}$ Bohnenblust--Hille Bound on the Boolean CubeComplete characterization of planar $C^1$ linearizability and optimal conjugacy regularityDimension-free weak $(1,1)$ estimates for Riesz transforms with constant driftPeriodic Magnetic Geodesics with Every Low Energy: Existence and LocalizationProjection Constants of Polynomial Spaces via Representation TheoryLyapunov stability of polynomial vector fields is undecidable

関数と測度と不等式と解析 - 2026/9/18の論文12本

Sep 18, 2026 20 min

arXiv math.CAの新着論文12本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-18/ Complete Bernstein functions and scaled ultraspherical zerosRigorous analysis of giant magnetic vortex stringsProduct-profile anti-concentration for block-structured multi-affine polynomialsThe divergence set for the wave equation in higher dimensions$L^p$ Decay Estimates for Circular Means of Fractal Measures in $\mathbb{R}^2$Sharp mixed $A_p$-$A_\infty$ estimates for sparse operators on filtered and nonhomogeneous measure spacesUniversal completeness of exponentialsSumsets of Ahlfors--David regular setsHausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systemsA constructive approach to range characterization of spherical mean transform in odd dimensionsLocal Matrix Muckenhoupt Weights and Quantitative Weighted Inequalities Achieving Global Best Known ExponentsAn exponential Lojasiewicz inequality for semi-Pfaffian sets

関数と不等式と解析的推定 - 2026/9/17の論文14本

Sep 17, 2026 24 min

arXiv math.CAの新着論文14本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-17/ Connection Formulae for a Generalised Ramanujan Entire FunctionThere are no Riesz bases of exponentials in balls and trianglesOn Kolmogorov's rearrangement problem and Garsia's conjectureCurved commutators in higher dimensionsMultilinear Mikhlin Multipliers with Degenerate SingularitiesRange Failure, Resolvent Growth, and Resonance in Partially Dissipative SystemsEndpoint eigenfunction restriction estimates in codimension twoSharp Strichartz estimates on the one-dimensional torusZeros of the Spectrogram of Colored Noise$p$-roughness of paths and invariance of $p$-th variationA Solution of Problem 2.5 by Brezis on the Planar Ginzburg--Landau EquationOn Two Questions by Brezis et al Concerning the Critical Difference Quotient Characterization of First-Order Sobolev SpacesA Sharp Planar Fractional Isoperimetric InequalityAbsolute deviations of the binomial about a prescribed centre: the tail expansion in closed form

関数と有界性とスペクトルと特異解 - 2026/9/16の論文11本

Sep 16, 2026 18 min

arXiv math.CAの新着論文11本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-16/ Completing the Meijer--Barnes $K$-function: the excluded case $NSharp bounds in Ionescu--Wainger multiplier theorem for canonical fractionsSets with no Riesz bases of exponentialsCommutators with two matrix weightsImproved weighted bounds for the strong maximal functionImproved $L^p$ bounds for the helical maximal function in dimensions $n \geq 5$Rational Points near Monofractal Curves and the Strong Oscillation PrincipleFinite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matchingBlock-count constrained harmonic sums: spectral expansion and block-directed Euler-MaclaurinSingular solutions to parabolic equations in one space dimensionOn Sarnak--Str\"{o}mbergsson conjecture

多項式と最大作用素と関数空間 - 2026/9/15の論文22本

Sep 15, 2026 39 min

arXiv math.CAの新着論文22本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-15/ A Lower Bound on the BlobPolynomial corners in finite fields beyond the distinct-degree caseFailure of the linear $A_2$ bound for the strong maximal operatorSpherical harmonics with maximal Lp norm growthNon-radial Dunkl multipliers at the $L^2$-Sobolev thresholdOn the weighted weak-type constant for the dyadic square functionThe `1/9'-problem for the $\varphi$-functionsOn the matrix $A_p$ conjectureErd\H{o}s's Robust Polynomial Interpolation Problem: the Optimal Exponential ScaleCahn-Hilliard equation associated with hypergraphInvariant sets of the double Hilbert transformThe lower envelope of ultraspherical polynomialsSpherical maximal operators on rank one Riemannian symmetric spaces of noncompact typeBesicovitch's covering theorem in the parabolic metricBMO-Type characterizations and endpoint estimates for commutators of intrinsic square functions on Orlicz-Hardy spacesPredictable subordination, sharp martingale inequalities and applicationsThe sharp $L^p$ bound for the imaginary part of the Beurling--Ahlfors operator on the latticeThe two cubic separable minimal surfaces: $\mathcal D_1\mathcal D_2\mathcal D_3=1$ and $\mathcal C_1+\mathcal C_2+\mathcal C_3=3\,\mathcal C_1\mathcal C_2\mathcal C_3$Polynomial Growth of Complex Polynomial Hardy--Littlewood ConstantsThe Koml\'os conjecture for complex discrepancyParabolic uniform rectifiability is characterized by Carleson measure estimates for bounded caloric functionsNested QMC designs on spheres

最大関数とマルチンゲールと重み付き評価 - 2026/9/14の論文17本

Sep 14, 2026 29 min

arXiv math.CAの新着論文17本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-14/ Martingale Transforms and Compensated Bellman Estimates for Dunkl Riesz TransformsTrace-defect bounds for discrete Fourier concentration operatorsAn Elementary Proof of the Hambly-Lyons Uniqueness TheoremWeighted Endpoint Variational and Jump Inequalites for Rough Singular IntegralsThe norm of the centered Hardy--Littlewood maximal operatorBourgain's Lambda(p) selection theorem: a greedy proof with polynomial failure boundsA weighted restriction estimate in $\mathbb R^2$Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probabilitySome extremal problem for martingale transforms. IIILittlewood-Paley Theory For Orthogonal Expansions Associated With Root SystemsHardy--Littlewood Maximal Operator and Two-Layer Muckenhoupt Weights on Infinite Rooted $k$-Ary TreesSharp $L^2 \to L^4$ extension inequality for quadratic surfaces in finite fieldsEqual-Phase Monotonicity for Weighted Jacobi-Radau Functions and Jacobi Lebesgue ConstantsDiameter-free reverse inequalities and superorthogonalityMinimal central slices of the regular simplexTangent-cone cancellation and Maz'ya's $\Phi$-inequalities on finitely cornered planar domainsExotic operators on the Hardy spaces of the infinite-dimensional torus

最大関数と容量と次元と不等式 - 2026/9/11の論文8本

Sep 11, 2026 15 min

arXiv math.CAの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-11/ Finite Hardy Phase Theory for Power Means: An exact analytic shooting family through the Carleman parameterDimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheresOn the log-concavity of the composite Bessel function $x^{\alpha}J_{\nu }\left( \beta x^{\gamma}\right) $Riesz capacity ratios with negative exponentsShorter proof of dimension-free $L^p$ estimates for maximal Riesz transformsLiouville regular Jordan curvesA threshold for full packing dimension of H\"{o}lder images of sets and measuresGaussians Do Not Always Maximize Mixed-Norm Strichartz Inequalities for the Schr\"odinger Equation

不等式と推定と直交多項式と素数 - 2026/9/10の論文9本

Sep 10, 2026 16 min

arXiv math.CAの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-10/ Mockenhaupt's Three-Term Hardy-Littlewood Majorant ConjectureOptimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the second-order discrete Riesz transformsDimension-free estimates for the full discrete Euclidean ball maximal functionLoomis-Whitney inequalities on Reiter-Heisenberg groupsA proof of Askey's convexity conjecturePositivity and Asymptotics for Chenevier's Orthogonal PolynomialsPrimes with Restricted-Digit DifferencesWhen Finite Free Curves SplitWhitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carath\'eodory spaces

スペクトルとカケヤ集合と直交多項式 - 2026/9/9の論文29本

Sep 9, 2026 51 min

arXiv math.CAの新着論文29本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-09/ Characterization on spectra of self-similar measures and the dual spectral set conjectureRegular closed gradient ranges and asymptotic gradient valuesA solution to the Erd\H{o}s Problem #1040Terminating Zero-Balanced Hypergeometric Series Using Divided DifferencesExact Asymptotics of the Multidimensional Nikolskii ConstantLifting curved Kakeya sets to linear Kakeya setsA counterexample to the Gowers $U^k$ uncertainty conjecture for $k\ge 6$Some constructions of restricted Kakeya setsAdmissible characterization in delay equations and robustness of exponential dichotomies against small-delay perturbationsTwo-parameter variational estimates for averages over toriBoundedness of Multilinear Hilbert Transforms Along Moment CurvesPi\~neiro mixed orthogonal polynomials and bidiagonal factorizationPolynomial Bohnenblust--Hille Bounds for product of cyclic groupsA sharp covering theorem and Solyanik estimates for Euclidean ballsBoundary value problems for linear differential-algebraic equations: solvability via the Kronecker canonical formAn Askey-Type Confluence Scheme for Hahn-Like Multiple OrthogonalityFull-radius dimension-free maximal inequalities for discrete Euclidean ballsSymmetric products of Laguerre zerosIntersections and Minkowski Sums of Four-Corner Cantor Dusts with the Unit CircleWavelet orthonormal bases for nonexpansive dilationsEstimates for $L^p$ variants of Gowers normsEndpoint bounds for the Born-Jordan distributionOn the Two-Weight Problem for One-Sided Maximal Operators in Higher DimensionsDistance Energies and Negative Type of Flat ToriThe equivalence of solutions to fractional and logarithmic Helmholtz equationsThe spectrum of $(\xi\alpha^n)$ can be uncountableNon-asymptotic bounds for the average singular value of a complex Gaussian matrixDimension free weak-type endpoint estimates for the vectors of the Dunkl--Riesz transformOn...

最大関数とスペクトルと漸近解析 - 2026/9/7の論文6本

Sep 7, 2026 10 min

arXiv math.CAの新着論文6本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-07/ Bourgain's proof of the circular maximal theorem: an expositionPrimes are Complete for a Class of $N$-Bernoulli Convolutions Spectral PairOn the spectrality of the non-homogeneous golden-mean self-similar measureA Log-Free $n^{1/5}$ Bound for Chowla's Cosine ProblemThe weak-type (1,1) bound for the Hardy--Littlewood maximal function is $O(\sqrt{n} \log n)$Asymptotics for the $k$-Hessian Eigenvalue on the Unit Ball

q-Painlevéと局在化と特異積分 - 2026/9/4の論文8本

Sep 4, 2026 14 min

arXiv math.CAの新着論文8本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-04/ Reducibility of symmetry on $q$-Painlev\'e equationsCertified Spherical MUSIC for 3D Localization under Adversarial Subspace PerturbationsA thickness boundary and modular obstructions for two-set radial projectionsSparse bounds for maximal rough singular integralsHausdorff--Choquet Angular Spaces and Weak-Type $(1,1)$ Bounds for Rough Maximal OperatorsEndpoint Estimates for Stein's Purely Quadratic Carleson OperatorOn the abstract approach to spectral constants: a proof of the Clou\^atre--Ostermann--Ransford conjectureThe finiteness conjecture for equilibria of electric fields generated by point charges of one sign

直交多項式と零点分布と熱核 - 2026/9/3の論文7本

Sep 3, 2026 12 min

arXiv math.CAの新着論文7本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-03/ Orthogonal polynomials which are eigenfunctions of a partial differential operatorA Note on the Norm of the Embedding of $\text{PW}^2$ into $\text{PW}^q$Sharp estimates for the Jacobi and trigonometric Dunkl heat kernelsRatio and limiting zero distribution asymptotics for symmetric multiple orthogonal polynomialsEstimating the number of real zeros of linear combinations of radicals of polynomialsThe frame set of the first Hermite functionPositivity loss in bandlimited spectral reproduction on spheres

タイルと電位とフレームと境界値問題 - 2026/9/2の論文7本

Sep 2, 2026 12 min

arXiv math.CAの新着論文7本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-02/ Translational tiles without spectra in finite abelian p-groupsCritical points of point charge potentials along linesThe frameset of the second-order B-Spline along $ab=1/q$Asymptotic safety regions for Gabor frames generated by Hermite functionsColombo's Determinant ProblemHigher-order Gaussian bounds for maximally subelliptic boundary value problemsThe Discrete $L_p$ Minkowski Problem for Negative $p$

関数と多項式と作用素と測度 - 2026/9/1の論文25本

Sep 1, 2026 44 min

arXiv math.CAの新着論文25本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-09-01/ Repairing the refined-decoupling proof of the 5/4 planar pinned Falconer theoremMinkowski sums with convex curves without pointwise Fourier decayMesh-Degree Rigidity for Positive Chebyshev-Fourier ApproximantsOn the measure of the boundary of a Haj\l{}asz-Sobolev $(M^{1,p},M^{1,q})$-extension domainA Littlewood-Type Theorem for Harmonic Functions in Euclidean Half-SpacesAn Ellipse Criterion for Exact Nonuniqueness in the Planar Interior Radon ProblemMonodromy and Isomonodromy for Linear $q$-Difference Systems with Coefficient Matrix $Ax+B$Counterexamples for generalizations of the non-elliptic Schr\"{o}dinger maximal operatorOn the Coefficients of Hurwitz-Type Matrix PolynomialsSquare Functions and Rectifiability under Monotone Transformations of the DensityA Painlev\'e equation for the H\"ormander-Bernhardsson constantThe Erd\'elyi--Magnus--Nevai and Krasikov Conjectures for Jacobi PolynomialsThe Koornwinder--Kostenko--Teschl Conjecture for Jacobi Polynomials and the Discrete Laguerre Phase TransitionCritical discrete Hardy inequalities in $L^p$A Counterexample to Belinsky's Conjecture on Ces\`aro Means at Lebesgue PointsSharp constants for weak estimates of Riesz Potentials when $0Sub-Laplacians on Compact Lie Groups: Heat Kernels, Distance, and Zeta DeterminantsLeast Variability in a Polynomial-Square Class of Rational KernelsErgodic $\times p$-invariant measures on $\mathbb{T}^2$ with no dimension dropping projectionsGPT, the Counterexample MachineCounting integral points near a curve in the n-dimensional Euclidean spaceWallis-type products with polynomial exponents and the Dirichlet beta function at negative integersEndpoint Mapping Properties of Wave Operators for Two-Dimensional Schr\"odinger OperatorsControllability of time-varying lumped semilinear systemsA Full Characterization of the Dirichlet Carleson embedding $\operatorname{id}: \...

直交多項式とベクトル場と格子点 - 2026/8/31の論文9本

Aug 31, 2026 16 min

arXiv math.CAの新着論文9本をご紹介します。番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-31/ Mehler--Heine asymptotics for finite differences of mass-modified Charlier and Meixner polynomialsQuantitative Uniqueness and Rough Damping on $\mathbb T^2$Optimal polynomial meshes beyond geometric boundary regularity via Green sublevelsA Sharp Capacity Gauge Solution to the Open Problem of Quasisymmetric Composition on $\mathcal{Q}_\alpha(\mathbb R^n)$Notices on a new functional identity and allied series transformationsA unified approach via Geronimus transformation to various types of orthogonal polynomialsHigher Order Structure along Nilpotent Eigendirections in Planar Vector FieldsLattice points in high-dimensional $\ell^q$ balls with small radiiCritical Gaussian Multiplicative Chaos on the Circle Is Rajchman

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終点と重みと測度と多項式構造 - 2026/11/11の論文11本

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Created by: プレプリどんどん編集部
Status: Active
Latest episode: Nov 11, 2026
Episodes: 190
Release period: Daily
Avg. episode length: 16 min
Explicit: No
Language: Japanese

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