IMPROVED POINCAR?-HARDY INEQUALITIES ON CERTAIN SUBSPACES OF THE SOBOLEV SPACE

被引：0
|
作者：
Ganguly, Debdip [1 ]
Roychowdhury, Prasun [2 ]
机构：
[1] Indian Inst Technol Delhi, Dept Math, IIT Campus, New Delhi 110016, India
[2] NTU, Natl Ctr Theoret Sci, Math Div, Cosmol Bldg 1,Sec 4,Roosevelt RD, Taipei City 106, Taiwan
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 08期
关键词：
Hardy inequality; hyperbolic space; spherical harmonics; Bessel pair; Caffarelli-Kohn-Nirenberg inequalities; KOHN-NIRENBERG INEQUALITIES; RIEMANNIAN-MANIFOLDS; RELLICH INEQUALITIES;
D O I：
10.1090/proc/16357
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove an improved version of Poincare '-Hardy inequality in suitable subspaces of the Sobolev space on the hyperbolic space via Bessel pairs. As a consequence, we obtain a new Hardy type inequality with an improved constant (than the usual Hardy constant). Furthermore, we derive a new kind of improved Caffarelli-Kohn-Nirenberg inequality on the hyperbolic space.
引用
收藏
页码：3513 / 3527
页数：15
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