不等式と作用素と測度 - 2026/10/19の論文18本

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 equations Semialgebraic ${C^m}$ solutions to a univariate system of linear inequalities with Nash forcing Nearly Sharp Uniform Projection Bounds and Superlinear Vitushkin Inequalities for Deterministic Self-Similar Sets Integer Parameter Shifts in One-Variable Restrictions of Lauricella's $F_C$ Stieltjes-generated moment functionals and orthogonality: a transfer principle and an image theorem Endpoint Lorentz Inequality for Riesz Potentials with Respect to General Measures Quantitative maximal $\mathrm{L}^p$-regularity for generators of real contraction semigroups Disproof of Wright's Problems 14 and 15 on lacunary maximal functions Orthonormal maximal estimates for fractional Schr\"odinger operators along H\"older curves Maximal estimates of the Schr\"odinger operators with quadratic potential for orthonormal systems Sharp $L^6$ Fourier moments and (3,$\delta$)-energy estimates for fractal measures on the truncated cone in $\R^3$ Probabilistic Fourier extension and the Schr\"odinger equation Folding to the Bessel-Clifford system, and Equivariant Topological Recursion Improved $L^p$ maximal estimates for higher-degree Weyl sums On 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 equations Constructions and reductions on the Hornich-Hlawka inequality and its generalizations On extremal problems related to the Krzy\.{z} conjecture