測度と作用素と不等式 - 2026/10/6の論文30本

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 theorem Projection theorems for macroscopic intermediate dimensions Multiple solutions of singular periodic problems On the mapping properties of a radially power-weighted k-plane transform On pointwise convergence of singular integrals of Christ-Journ\'e type Lower bounds for parameter-dependent oscillatory integrals and Fourier frames on hypersurfaces Sparse domination and the bi-parameter Hilbert transform The strong $\ell^r$ spherical maximal function Lebesgue measure of distance sets and $L^2$ ball inflation Dunkl--BMO functions representable in terms of generalized balayage of Carleson measures and an application Null-additive sets and packing measures Addition formula for two families of orthogonal polynomials in several variables Weak reverse H\"older inequalities for doubling measures A Fraction Dimensional Kakeya Compression Improved dimension bounds for Falconer's distance problem in the plane Multilinear transference on product spaces and applications A uniqueness result for two-step indefinite $p$-Laplacian equations Refinements on the Restriction and Kakeya problems range in $\mathbb{R}^4$ Point Configurations in Brownian Traces Pointwise Convergence of Random Ergodic Averages at the $L^1$ Endpoint Sharp Poincar\'e Inequalities for Families of Nonlocal Nonconvex Functionals Borwein-Bradley-type identities for Ramanujan-type series for $1/\pi^4$ From Sharp Self-Improvement to Exact Perimeter Formulas in Bourgain--Brezis--Mironescu Spaces Sharp uniform stability of the logarithmic Sobolev inequality on finite cycles and stability of the cubic Sobolev inequality From the Sphere to the Grassmannian: Continuous Brascamp--Lieb Inequalities via Measure Approximation and Heat Flow Exactness of weighted exponential systems with a defect Characterization of the boundedness of the discrete Fractional maximal operator between weighted in Lorentz sequence spaces Optimal Tail Estimates for Differential Equations Driven by Fractional Brownian Motion Noncommutative maximal inequalities for polynomial ergodic averages Uniform oscillation properties of almost periodic functions<