プレプリどんどん: math.CA

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 zeros Rigorous analysis of giant magnetic vortex strings Product-profile anti-concentration for block-structured multi-affine polynomials The 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 spaces Universal completeness of exponentials Sumsets of Ahlfors--David regular sets Hausdorff spectrum of Lyapunov exponents for higher-dimensional self-affine systems A constructive approach to range characterization of spherical mean transform in odd dimensions Local Matrix Muckenhoupt Weights and Quantitative Weighted Inequalities Achieving Global Best Known Exponents An exponential Lojasiewicz inequality for semi-Pfaffian sets

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 Function There are no Riesz bases of exponentials in balls and triangles On Kolmogorov's rearrangement problem and Garsia's conjecture Curved commutators in higher dimensions Multilinear Mikhlin Multipliers with Degenerate Singularities Range Failure, Resolvent Growth, and Resonance in Partially Dissipative Systems Endpoint eigenfunction restriction estimates in codimension two Sharp Strichartz estimates on the one-dimensional torus Zeros of the Spectrogram of Colored Noise $p$-roughness of paths and invariance of $p$-th variation A Solution of Problem 2.5 by Brezis on the Planar Ginzburg--Landau Equation On Two Questions by Brezis et al Concerning the Critical Difference Quotient Characterization of First-Order Sobolev Spaces A Sharp Planar Fractional Isoperimetric Inequality Absolute deviations of the binomial about a prescribed centre: the tail expansion in closed form

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 $N Sharp bounds in Ionescu--Wainger multiplier theorem for canonical fractions Sets with no Riesz bases of exponentials Commutators with two matrix weights Improved weighted bounds for the strong maximal function Improved $L^p$ bounds for the helical maximal function in dimensions $n \geq 5$ Rational Points near Monofractal Curves and the Strong Oscillation Principle Finite inverse nodal problems for singular weighted Sturm--Liouville equations: variational selection and spectral matching Block-count constrained harmonic sums: spectral expansion and block-directed Euler-Maclaurin Singular solutions to parabolic equations in one space dimension On Sarnak--Str\"{o}mbergsson conjecture

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 Blob Polynomial corners in finite fields beyond the distinct-degree case Failure of the linear $A_2$ bound for the strong maximal operator Spherical harmonics with maximal Lp norm growth Non-radial Dunkl multipliers at the $L^2$-Sobolev threshold On the weighted weak-type constant for the dyadic square function The `1/9'-problem for the $\varphi$-functions On the matrix $A_p$ conjecture Erd\H{o}s's Robust Polynomial Interpolation Problem: the Optimal Exponential Scale Cahn-Hilliard equation associated with hypergraph Invariant sets of the double Hilbert transform The lower envelope of ultraspherical polynomials Spherical maximal operators on rank one Riemannian symmetric spaces of noncompact type Besicovitch's covering theorem in the parabolic metric BMO-Type characterizations and endpoint estimates for commutators of intrinsic square functions on Orlicz-Hardy spaces Predictable subordination, sharp martingale inequalities and applications The sharp $L^p$ bound for the imaginary part of the Beurling--Ahlfors operator on the lattice The 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 Constants The Koml\'os conjecture for complex discrepancy Parabolic uniform rectifiability is characterized by Carleson measure estimates for bounded caloric functions Nested QMC designs on spheres

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 Transforms Trace-defect bounds for discrete Fourier concentration operators An Elementary Proof of the Hambly-Lyons Uniqueness Theorem Weighted Endpoint Variational and Jump Inequalites for Rough Singular Integrals The norm of the centered Hardy--Littlewood maximal operator Bourgain's Lambda(p) selection theorem: a greedy proof with polynomial failure bounds A weighted restriction estimate in $\mathbb R^2$ Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probability Some extremal problem for martingale transforms. III Littlewood-Paley Theory For Orthogonal Expansions Associated With Root Systems Hardy--Littlewood Maximal Operator and Two-Layer Muckenhoupt Weights on Infinite Rooted $k$-Ary Trees Sharp $L^2 \to L^4$ extension inequality for quadratic surfaces in finite fields Equal-Phase Monotonicity for Weighted Jacobi-Radau Functions and Jacobi Lebesgue Constants Diameter-free reverse inequalities and superorthogonality Minimal central slices of the regular simplex Tangent-cone cancellation and Maz'ya's $\Phi$-inequalities on finitely cornered planar domains Exotic operators on the Hardy spaces of the infinite-dimensional torus

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 parameter Dimension-free estimates for full discrete maximal functions associated with Euclidean balls and spheres On the log-concavity of the composite Bessel function $x^{\alpha}J_{\nu }\left( \beta x^{\gamma}\right) $ Riesz capacity ratios with negative exponents Shorter proof of dimension-free $L^p$ estimates for maximal Riesz transforms Liouville regular Jordan curves A threshold for full packing dimension of H\"{o}lder images of sets and measures Gaussians Do Not Always Maximize Mixed-Norm Strichartz Inequalities for the Schr\"odinger Equation

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 Conjecture Optimal dimension-dependent $\ell^p$ and $\ell^{1,\infty}$ estimates of the second-order discrete Riesz transforms Dimension-free estimates for the full discrete Euclidean ball maximal function Loomis-Whitney inequalities on Reiter-Heisenberg groups A proof of Askey's convexity conjecture Positivity and Asymptotics for Chenevier's Orthogonal Polynomials Primes with Restricted-Digit Differences When Finite Free Curves Split Whitney extension theorem and intrinsic rectifiability of jump sets in Carnot-Carath\'eodory spaces

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 conjecture Regular closed gradient ranges and asymptotic gradient values A solution to the Erd\H{o}s Problem #1040 Terminating Zero-Balanced Hypergeometric Series Using Divided Differences Exact Asymptotics of the Multidimensional Nikolskii Constant Lifting curved Kakeya sets to linear Kakeya sets A counterexample to the Gowers $U^k$ uncertainty conjecture for $k\ge 6$ Some constructions of restricted Kakeya sets Admissible characterization in delay equations and robustness of exponential dichotomies against small-delay perturbations Two-parameter variational estimates for averages over tori Boundedness of Multilinear Hilbert Transforms Along Moment Curves Pi\~neiro mixed orthogonal polynomials and bidiagonal factorization Polynomial Bohnenblust--Hille Bounds for product of cyclic groups A sharp covering theorem and Solyanik estimates for Euclidean balls Boundary value problems for linear differential-algebraic equations: solvability via the Kronecker canonical form An Askey-Type Confluence Scheme for Hahn-Like Multiple Orthogonality Full-radius dimension-free maximal inequalities for discrete Euclidean balls Symmetric products of Laguerre zeros Intersections and Minkowski Sums of Four-Corner Cantor Dusts with the Unit Circle Wavelet orthonormal bases for nonexpansive dilations Estimates for $L^p$ variants of Gowers norms Endpoint bounds for the Born-Jordan distribution On the Two-Weight Problem for One-Sided Maximal Operators in Higher Dimensions Distance Energies and Negative Type of Flat Tori The equivalence of solutions to fractional and logarithmic Helmholtz equations The spectrum of $(\xi\alpha^n)$ can be uncountable Non-asymptotic bounds for the average singular value of a complex Gaussian matrix Dimension free weak-type endpoint estimates for the vectors of the Dunkl--Riesz transform On the well-posedness and efficient approximation for the classical Melan equation in suspension bridges

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 exposition Primes are Complete for a Class of $N$-Bernoulli Convolutions Spectral Pair On the spectrality of the non-homogeneous golden-mean self-similar measure A Log-Free $n^{1/5}$ Bound for Chowla's Cosine Problem The 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

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 equations Certified Spherical MUSIC for 3D Localization under Adversarial Subspace Perturbations A thickness boundary and modular obstructions for two-set radial projections Sparse bounds for maximal rough singular integrals Hausdorff--Choquet Angular Spaces and Weak-Type $(1,1)$ Bounds for Rough Maximal Operators Endpoint Estimates for Stein's Purely Quadratic Carleson Operator On the abstract approach to spectral constants: a proof of the Clou\^atre--Ostermann--Ransford conjecture The finiteness conjecture for equilibria of electric fields generated by point charges of one sign

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 operator A Note on the Norm of the Embedding of $\text{PW}^2$ into $\text{PW}^q$ Sharp estimates for the Jacobi and trigonometric Dunkl heat kernels Ratio and limiting zero distribution asymptotics for symmetric multiple orthogonal polynomials Estimating the number of real zeros of linear combinations of radicals of polynomials The frame set of the first Hermite function Positivity loss in bandlimited spectral reproduction on spheres

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-groups Critical points of point charge potentials along lines The frameset of the second-order B-Spline along $ab=1/q$ Asymptotic safety regions for Gabor frames generated by Hermite functions Colombo's Determinant Problem Higher-order Gaussian bounds for maximally subelliptic boundary value problems The Discrete $L_p$ Minkowski Problem for Negative $p$

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 theorem Minkowski sums with convex curves without pointwise Fourier decay Mesh-Degree Rigidity for Positive Chebyshev-Fourier Approximants On the measure of the boundary of a Haj\l{}asz-Sobolev $(M^{1,p},M^{1,q})$-extension domain A Littlewood-Type Theorem for Harmonic Functions in Euclidean Half-Spaces An Ellipse Criterion for Exact Nonuniqueness in the Planar Interior Radon Problem Monodromy and Isomonodromy for Linear $q$-Difference Systems with Coefficient Matrix $Ax+B$ Counterexamples for generalizations of the non-elliptic Schr\"{o}dinger maximal operator On the Coefficients of Hurwitz-Type Matrix Polynomials Square Functions and Rectifiability under Monotone Transformations of the Density A Painlev\'e equation for the H\"ormander-Bernhardsson constant The Erd\'elyi--Magnus--Nevai and Krasikov Conjectures for Jacobi Polynomials The Koornwinder--Kostenko--Teschl Conjecture for Jacobi Polynomials and the Discrete Laguerre Phase Transition Critical discrete Hardy inequalities in $L^p$ A Counterexample to Belinsky's Conjecture on Ces\`aro Means at Lebesgue Points Sharp constants for weak estimates of Riesz Potentials when $0 Sub-Laplacians on Compact Lie Groups: Heat Kernels, Distance, and Zeta Determinants Least Variability in a Polynomial-Square Class of Rational Kernels Ergodic $\times p$-invariant measures on $\mathbb{T}^2$ with no dimension dropping projections GPT, the Counterexample Machine Counting integral points near a curve in the n-dimensional Euclidean space Wallis-type products with polynomial exponents and the Dirichlet beta function at negative integers Endpoint Mapping Properties of Wave Operators for Two-Dimensional Schr\"odinger Operators Controllability of time-varying lumped semilinear systems A Full Characterization of the Dirichlet Carleson embedding $\operatorname{id}: \mathcal D_{p-1}^p \to L^p(\mu)$ for $p>2$

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 polynomials Quantitative Uniqueness and Rough Damping on $\mathbb T^2$ Optimal polynomial meshes beyond geometric boundary regularity via Green sublevels A 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 transformations A unified approach via Geronimus transformation to various types of orthogonal polynomials Higher Order Structure along Nilpotent Eigendirections in Planar Vector Fields Lattice points in high-dimensional $\ell^q$ balls with small radii Critical Gaussian Multiplicative Chaos on the Circle Is Rajchman

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/2026-08-28/ Microstructure evolution as a game Capacitary-Distance Hardy Inequality Optimal fractional discrete Hardy inequalities on the half-line A complex-analytic proof of square-restricted stable phase retrieval in Fock space A blueprint for the formalization of norm-variation of multiple ergodic averages for commuting transformations Arbitrarily Fast Quantum Dispersion in Long-Range Crystals

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/2026-08-27/ A sharpened Carlson's integral inequality Exact-Support Counterexamples to Euclidean-to-Spherical Transfer of Positive Definiteness in Even Dimensions Bilinear Bochner--Riesz Means on the Complex Sphere Optimal differentiability of isotropic positive definite functions on even-dimensional spheres Weighted Estimation by Discrete-time Sparse Domination on Martingale Spaces

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/2026-08-26/ A Fefferman--Stein inequality for the Dunkl Poisson semigroup and its chamber-lifted formulation Directional maximal operators in the plane Borell--Brascamp--Lieb inequality with finitely many output functions Functions with comparable integrals on all k-planes Optimal Hardy Inequalities for Random Walks on $\mathbb{Z}^2$ On AAA approximants on an interval to Nevanlinna-Pick functions and P\'olya Frequency Series Evolution families and variation of constants formula for abstract functional differential equations with time-dependent infinite delay Sparse domination implies convex body domination Polynomial Ergodic Averages Along Short Intervals Common tiling functions with small support Stieltjes polynomial interpolation BMO Classification for Two-Dimensional Dunkl Newton and Green Kernels Critical fractional Hardy inequalities Joint moments of characteristic polynomials in the circular Jacobi ensemble and Painlev\'e equations

arXiv math.CAの新着論文24本をご紹介します。 番組ページ: https://prepridondon.nyoho.jp/channels/math-ca/episodes/2026-08-25/ Positive measure for restricted projections along smooth non-degenerate curves Endpoint orthonormal Strichartz estimates Gaussian beam Radon transform for tensor fields in $\mathbb{R}^2$ $L^p$-Estimates for maximal averages along mixed homogeneous hypersurfaces in $\mathbb{R}^{3}$ Isotropic Positive Definite Functions on Spheres: Even-Dimensional Gneiting's Problem The H\"ormander--Bernhardsson function in higher dimensions Rotating needles in space: the road to the Kakeya conjecture, and why it matters A criterion on weak type $(1,1)$ bound of rough singular integrals Local Scaling and Dimension Distortion of Generalized Cantor Functions Distance preservers for Lobachevsky space The Nikolskii Constant in Arbitrary Dimension Critical two-depth Journ\'e packing for bi-parameter and Zygmund rectangles Rubio de Francia's Extrapolation Theorem and Sparse Bounds The Hamburger Criterion for Matrix Nevanlinna--Pick Interpolation The dyadic denominator law for the phase constants of the Jacobi zeros Big Pieces of Regular Parabolic (bi-)Lipschitz Images is Equivalent to Parabolic Uniform Rectifiability Eigenvalue asymptotics and uniform eigenfunction bounds for the fractional Laplacian in the interval Rational Points and Brownian Motion Finite-term recurrences in a generalized Bochner--Krall family Componentwise Geometry and Monodromy of Generalized Lam\'e Equations On ideal lemniscates, butterflies, and circular waves The parabolic Dini-$\beta$ condition and absolute continuity of surface and caloric measure Quasiconvexity of the Burkholder function on symmetric matrices Quantitative Logarithmic Chowla Correlations Uniformly over Growing Shifts

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/2026-08-24/ Strong asymptotics for Jacobi-Pi\~neiro orthogonal polynomials Two-weight commutators for the Bessel Riesz transform with Andersen--Kerman weights Anisotropic Bourgain--Brezis inequalities On the $p$-variation of Riemann's ''nondifferentiable'' function Space-filling surfaces: sharp H\"older continuous parameterizations from squares to cubes

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/2026-08-21/ Product formulas for multivariate and matrix-variate confluent hypergeometric functions Factorization and Atomic Decomposition in Hardy-Orlicz Spaces on the Upper Half-Plane with Applications to Hankel Operators Boundary-Weighted Fourier Inequalities for Convex Domains Generalized inverses of strictly monotone transformations Uniform weak type $(1,1)$ bounds for Riesz transforms on stratified Lie groups