SHARP CAFFARELLI-KOHN-NIRENBERG AND HARDY-RELLICH INEQUALITIES FOR PARTIALLY ANTISYMMETRIC FUNCTIONS

被引：1

作者：

Jin, Yongyang ^{[1
]}

Tang, Li ^{[1
]}

Fan, Yi ^{[1
]}

Yu, Nianxing ^{[1
]}

机构：

[1] Zhejiang Univ Technol, Sch Math Sci, Hangzhou 310023, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2025年 / 153卷 / 01期

关键词：

Caffarelli-Kohn-Nirenb erg inequality; Hardy-Rellich inequality; anti- symmetric functions; CONSTANTS;

D O I：

10.1090/proc/17012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain a class of sharp Caffarelli-Kohn-Nirenb erg and Hardy-Rellich type inequalities for partially antisymmetric functions. Our results build a bridge between the Hardy inequality on upper half-space and the Hardy inequality for fully antisymmetric functions.

引用

页码：193 / 205

页数：13

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