Hardy inequalities in half spaces of the Heisenberg group

被引：3

作者：

Han, Junqiang ^{[1
]}

Niu, Pengcheng ^{[1
]}

Qin, Wenji ^{[2
]}

机构：

[1] NW Polytech Univ, Dept Appl Math, Xian 710072, Shaanxi, Peoples R China

[2] Xian Polytech Univ, Coll Comp Sci, Xian 710048, Shaanxi, Peoples R China

来源：

BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 45卷 / 03期

关键词：

hardy inequality; half space; Heisenberg group;

D O I：

10.4134/BKMS.2008.45.3.405

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we prove some Hardy inequalities in the half space of the Heisenberg group and indicate the sharp constant.

引用

收藏

页码：405 / 417

页数：13

相关论文

共 6 条

[1] Some Hardy inequalities on the Heisenberg group
D'Ambrosio, L
[J]. DIFFERENTIAL EQUATIONS, 2004, 40 (04) : 552 - 564
[2] FREQUENCY FUNCTIONS ON THE HEISENBERG-GROUP, THE UNCERTAINTY PRINCIPLE AND UNIQUE CONTINUATION
GAROFALO, N
LANCONELLI, E
[J]. ANNALES DE L INSTITUT FOURIER, 1990, 40 (02) : 313 - 356
[3] On a degenerate heat equation with a singular potential
Goldstein, JA
Zhang, QS
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2001, 186 (02) : 342 - 359
[4] Han Y., 2003, J. Inequal. Pure Appl. Math, V4, P1
[5] Hardy type and rellich type inequalities on the heisenberg group
Niu, PC
Zhang, HQ
Wang, Y
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (12) : 3623 - 3630
[6] A Hardy inequality in the half-space
Tidblom, J
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 221 (02) : 482 - 495