Some Hardy identities on half-spaces

被引：0

作者：

Duy, Nguyen Tuan ^{[1
]}

Lam, Nguyen ^{[2
]}

Phi, Le Long ^{[3
]}

机构：

[1] Univ Finance Mkt, Fac Econ & Law, 2-4 Tran Xuan Soan St,Dist 7, Hcm City, Vietnam

[2] Mem Univ Newfoundland, Sch Sci & Environm, Grenfell Campus, Corner Brook, NF A2H 5G4, Canada

[3] Duy Tan Univ, Inst Res & Dev, Da Nang 550000, Vietnam

来源：

MATHEMATISCHE NACHRICHTEN | 2021年 / 294卷 / 12期

关键词：

Bessel pair; Hardy inequality; sharp constant; ADAMS INEQUALITIES; HYPERBOLIC SPACES; RELLICH INEQUALITIES; SHARP; OPERATORS; REMAINDER; TERMS; ORDER;

D O I：

10.1002/mana.201900312

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some Hardy identities on the half-space R+N. Our equalities imply correponding versions of the Hardy type inequalities with exact remainder terms on R+N. These equalities give straightforward understandings of the optimal constants as well as the nonexistence of nontrivial optimizers for various Hardy type inequalities on half-spaces. These identities also provide the "virtual" ground state in the sense of Frank and Seiringer [13] for several Hardy type inequalities on R+N.

引用

页码：2317 / 2328

页数：12

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