Fractional Log-Sobolev Inequalities on the Sphere

被引：0

作者：

Tang, Hanli ^{[1
]}

Zhang, Caifeng ^{[2
]}

机构：

[1] Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China

[2] Univ Sci & Technol Beijing, Sch Math & Phys, Dept Appl Math, Beijing 100083, Peoples R China

来源：

JOURNAL OF GEOMETRIC ANALYSIS | 2025年 / 35卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Fractional log-Sobolev inequalities; Sharp constant; EQUATIONS;

D O I：

10.1007/s12220-025-01988-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this note, we establish sharp fractional log-Sobolev inequalities on the sphere and we also consider the improved log-Sobolev inequalities under an orthogonality constraint. Our proof is based on Beckner's log-Sobolev inequalities and the spherical harmonics expansions.

引用

页数：10

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