A Hardy type inequality in the half-space on Rn and Heisenberg group

被引：19

作者：

Luan, Jing-Wen ^{[1
]}

Yang, Qiao-Hua ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 347卷 / 02期

基金：

美国国家科学基金会;

关键词：

Hardy inequality; Heisenberg group; sharp constants;

D O I：

10.1016/j.jmaa.2008.06.048

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a Hardy type inequality in the half-space on the Heisenberg group and show that a Hardy inequality given by J. Tidblm in U. Tidblm, A Hardy inequality in the half-space. J. Funct. Anal. 221 (2005) 482-492] is sharp. (C) 2008 Elsevier Inc. All rights reserved.

引用

页码：645 / 651

页数：7

共 50 条

[1] Hardy-type inequalities on a half-space in the Heisenberg group
Liu, Heng-Xing
Luan, Jing-Wen
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[2] Hardy-type inequalities on a half-space in the Heisenberg group
Heng-Xing Liu
Jing-Wen Luan
Journal of Inequalities and Applications, 2013
[3] Lp Hardy type inequality in the half-space on the H-type group
He, Jianxun
Yin, Mingkai
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[4] A Hardy inequality in the half-space
Tidblom, J
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 221 (02) : 482 - 495
[5] An improved Hardy type inequality on Heisenberg group
Ying-Xiong Xiao
Journal of Inequalities and Applications, 2011
[6] An improved Hardy type inequality on Heisenberg group
Xiao, Ying-Xiong
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[7] Hardy inequalities in half spaces of the Heisenberg group
Han, Junqiang
Niu, Pengcheng
Qin, Wenji
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2008, 45 (03) : 405 - 417
[8] Hardy's inequality for fractional powers of the sublaplacian on the Heisenberg group
Roncal, Luz
Thangavelu, Sundaram
ADVANCES IN MATHEMATICS, 2016, 302 : 106 - 158
[9] A Note on the Rellich Inequality on Half-Space
N. T. Duy
L. L. Phi
Analysis Mathematica, 2021, 47 : 559 - 567
[10] A Note on the Rellich Inequality on Half-Space
Duy, N. T.
Phi, L. L.
ANALYSIS MATHEMATICA, 2021, 47 (03) : 559 - 567

← 1 2 3 4 5 →