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

共 50 条

[41] Wandering subspaces and quasi-wandering subspaces in the Hardy-Sobolev spaces
Xiao, Jie Sheng
Cao, Guang Fu
ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2017, 33 (12) : 1684 - 1692
[42] IMPROVED SOBOLEV INEQUALITIES
STRICHARTZ, RS
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 279 (01) : 397 - 409
[43] Geometric Hardy and Hardy-Sobolev inequalities on Heisenberg groups
Ruzhansky, Michael
Sabitbek, Bolys
Suragan, Durvudkhan
BULLETIN OF MATHEMATICAL SCIENCES, 2020, 10 (03)
[44] A Poincaré Inequality in a Sobolev Space with a Variable Exponent
Philippe G.CIARLET
George DINCA
Chinese Annals of Mathematics(Series B), 2011, 32 (03) : 333 - 342
[45] A Poincaré inequality in a Sobolev space with a variable exponent
Philippe G. Ciarlet
George Dinca
Chinese Annals of Mathematics, Series B, 2011, 32
[46] Hardy-Sobolev Inequalities with Dunkl Weights
Anh Dao Nguyen
Duy Nguyen Tuan
Nguyen Lam Hoang
Van Phong Nguyen
ACTA MATHEMATICA VIETNAMICA, 2023, 48 (01) : 133 - 149
[47] Missing terms in Hardy-Sobolev inequalities
Detalla, A
Horiuchi, T
Ando, H
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2004, 80 (08) : 160 - 165
[48] On the best constant of Hardy-Sobolev inequalities
Adimurthi
Filippas, Stathis
Tertikas, Achilles
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (08) : 2826 - 2833
[49] A Note on Generalized Hardy-Sobolev Inequalities
Anoop, T. V.
INTERNATIONAL JOURNAL OF ANALYSIS, 2013,
[50] Hardy-Sobolev inequalities and hyperbolic symmetry
Castorina, D.
Fabbri, I.
Mancini, G.
Sandeep, K.
RENDICONTI LINCEI-MATEMATICA E APPLICAZIONI, 2008, 19 (03) : 189 - 197

← 1 2 3 4 5 →