REVERSED HARDY-LITTLEWOOD-SOBOLEV INEQUALITY ON HEISENBERG GROUP Hn AND CR SPHERE S2n+1

被引：1
|
作者：
Han, Yazhou [1 ]
Zhang, Shutao [1 ]
机构：
[1] China Jiliang Univ, Coll Sci, Dept Math, Hangzhou 310018, Peoples R China
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2024年 / 27卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Heisenberg group; reversed Hardy-Littlewood-Sobolev inequality; subcritical approach; rearrangement free method; STEIN-WEISS INEQUALITIES; MOSER-TRUDINGER INEQUALITIES; INTEGRAL-EQUATIONS; SHARP CONSTANTS; FRACTIONAL INTEGRALS; EXISTENCE; COMPLEX; KERNEL; SPACES;
D O I：
10.7153/mia-2024-27-58
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is mainly devoted to the study of the reversed Hardy-Littlewood-Sobolev (HLS) inequality on Heisenberg group Hn and CR sphere S2n+1 . First, we establish the roughly reversed HLS inequality and give an explicitly lower bound for the sharp constant. Then, the existence of the extremal functions with sharp constant is proved by subcritical approach and some compactness techniques. Our method is rearrangement free and can be applied to study the classical HLS inequality and other similar inequalities.
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页码：833 / 857
页数：25
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