Riesz势的最优弱估计

IF 0.8 4区数学 Q2 MATHEMATICS

Comptes Rendus Mathematique Pub Date : 2023-10-24 DOI:10.5802/crmath.479

Liang Huang, Hanli Tang

引用次数: 0

摘要

其中γ s =2 -s π -n 2 Γ(n-s 2) Γ(s 2)。我们还考虑了Riesz势的弱类型估计的最佳常数 n,s的行为，并证明了当s→0时， n,s =O(γ s s)。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Optimal weak estimates for Riesz potentials

where γ s =2 -s π -n 2 Γ(n-s 2) Γ(s 2). We also consider the behavior of the best constant 𝒞 n,s of weak type estimate for Riesz potentials, and we prove 𝒞 n,s =O(γ s s) as s→0.

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来源期刊

Comptes Rendus Mathematique 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

115

审稿时长

16.6 weeks

期刊介绍： The Comptes Rendus - Mathématique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, … Articles are original notes that briefly describe an important discovery or result. The articles are written in French or English. The journal also publishes review papers, thematic issues and texts reflecting the activity of Académie des sciences in the field of Mathematics.