Hardy inequalities in half spaces of the Heisenberg group

被引:4
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
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 [J].
D'Ambrosio, L .
DIFFERENTIAL EQUATIONS, 2004, 40 (04) :552-564
[2]   FREQUENCY FUNCTIONS ON THE HEISENBERG-GROUP, THE UNCERTAINTY PRINCIPLE AND UNIQUE CONTINUATION [J].
GAROFALO, N ;
LANCONELLI, E .
ANNALES DE L INSTITUT FOURIER, 1990, 40 (02) :313-356
[3]   On a degenerate heat equation with a singular potential [J].
Goldstein, JA ;
Zhang, QS .
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 [J].
Niu, PC ;
Zhang, HQ ;
Wang, Y .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 129 (12) :3623-3630
[6]   A Hardy inequality in the half-space [J].
Tidblom, J .
JOURNAL OF FUNCTIONAL ANALYSIS, 2005, 221 (02) :482-495