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

页码：3513 / 3527

页数：15

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