Trudinger-Moser inequalities on harmonic AN groups under Lorentz norms

被引：2

作者：

Su, Dan ^{[1
]}

Yang, Qiaohua ^{[1
]}

机构：

[1] Univ Int Business & Econ, Sch Stat, Beijing 100029, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2019年 / 188卷

基金：

中国国家自然科学基金;

关键词：

Trudinger-Moser inequality; Lorentz space; Harmonic AN groups; Sharp constant; HARDY-ADAMS INEQUALITIES; HYPERBOLIC SPACES; EIGENFUNCTIONS; LAPLACIAN; EXISTENCE; OPERATORS; GROWTH;

D O I：

10.1016/j.na.2019.06.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main purpose of this paper is to establish sharp Trudinger-Moser type inequalities on harmonic AN groups S for functions whose gradient is in the Lorentz space L(n, q). Our results show that even if S is not with strictly negative sectional curvature, one can also replace the norm integral(S) vertical bar del(Su)vertical bar(n) dV + integral(S) vertical bar u vertical bar(n) dV by integral(S) vertical bar del(Su)vertical bar(n) dV in the Trudinger-Moser type inequalities. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：439 / 454

页数：16

共 38 条

[1] A SHARP INEQUALITY OF MOSER,J. FOR HIGHER-ORDER DERIVATIVES [J].

ADAMS, DR .

ANNALS OF MATHEMATICS, 1988, 128 (02) :385-398

[2] An Interpolation of Hardy Inequality and Trudinger-Moser Inequality in RN and Its Applications [J].

Adimurthi ;

Yang, Yunyan .

INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2010, 2010 (13) :2394-2426

[3] Moser type inequalities for higher-order derivatives in Lorentz spaces [J].

Alberico, Angela .

POTENTIAL ANALYSIS, 2008, 28 (04) :389-400

[4]

Alvino A, 1996, POTENTIAL ANAL, V5, P273

[5]

Anker J-P., 1996, ANN SCUOLA NORM SUP, V23, P643

[6]

[Anonymous], 2016, CALC VAR PARTIAL DIF

[7]

[Anonymous], 1995, LECT NOTES MATH

[8]

Bertrand J., ARXIV180900879

[9] A Moser-type inequality in Lorentz-Sobolev spaces for unbounded domains in RN [J].

Cassani, Daniele ;

Tarsi, Cristina .

ASYMPTOTIC ANALYSIS, 2009, 64 (1-2) :29-51

[10] A CLASS OF NONSYMMETRIC HARMONIC RIEMANNIAN SPACES [J].

DAMEK, E ;

RICCI, F .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1992, 27 (01) :139-142

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