制限推定と幾何学的な問題 - 2026/10/16の論文12本

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 estimates The $(n-1)$-linear restriction estimate in $\mathbb{R}^n$ with degenerate curvature Fourier decay and endpoint estimates for lacunary maximal operators Functions of bounded variation are not dense in the Strong BD Norm B\'ezout bounds and rational points on quasianalytic graphs Visible parts and projections of the affine fractal percolation A geometry-independent endpoint estimate for the Littlewood--Paley $g$-function generated by the Poisson semigroup Tauberian rates and the Baire property of ideals A quantitative form of the planar Falconer distance theorem Seven Limit Cycles in a Periodically Forced Three-Zone Equation Optimization of a Perturbed Implicit Sweeping Process by Constrained Discontinuous Controls Schwarz $\mathrm{P}$ and Schwarz $\mathrm{D}$ as free-boundary minimal disks in a tetragonal disphenoid: exact areas