Hardy-Rellich and second order Poincare identities on the hyperbolic space via Bessel pairs

被引：7

作者：

Berchio, Elvise ^{[1
]}

Ganguly, Debdip ^{[2
]}

Roychowdhury, Prasun ^{[3
]}

机构：

[1] Politecn Torino, Dipartimento Sci Matemat, Corso Duca Abruzzi 24, I-10129 Turin, Italy

[2] Hauz Khas, Dept Math, Indian Inst Technol Delhi, IIT Campus, Delhi 110016, India

[3] Indian Inst Sci Educ & Res, Dept Math, Dr Homi Bhabha Rd, Pune 411008, Maharashtra, India

来源：

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | 2022年 / 61卷 / 04期

关键词：

26D10; 46E35; 31C12; 35A23; RIEMANNIAN-MANIFOLDS; INEQUALITIES;

D O I：

10.1007/s00526-022-02232-5

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a family of Hardy-Rellich and Poincare identities and inequalities on the hyperbolic space having, as particular cases, improved Hardy-Rellich, Rellich and second order Poincare inequalities. All remainder terms provided improve those already known in literature, and all identities hold with same constants for radial operators also. Furthermore, as applications of the main results, second order versions of the uncertainty principle on the hyperbolic space are derived.

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页数：24

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