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 50 条
  • [1] THE HARDY AND HEISENBERG INEQUALITIES IN MORREY SPACES
    Gunawan, Hendra
    Hakim, Denny Ivanal
    Nakai, Eiichi
    Sawano, Yoshihiro
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2018, 97 (03) : 480 - 491
  • [2] Hardy-type inequalities on a half-space in the Heisenberg group
    Liu, Heng-Xing
    Luan, Jing-Wen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [3] Hardy-type inequalities on a half-space in the Heisenberg group
    Heng-Xing Liu
    Jing-Wen Luan
    Journal of Inequalities and Applications, 2013
  • [4] Hardy’s Inequalities for the Heisenberg Group
    Jinsen Xiao
    Jianxun He
    Xingya Fan
    Potential Analysis, 2019, 51 : 165 - 177
  • [5] Some Hardy inequalities on the Heisenberg group
    D'Ambrosio, L
    DIFFERENTIAL EQUATIONS, 2004, 40 (04) : 552 - 564
  • [6] Hardy's Inequalities for the Heisenberg Group
    Xiao, Jinsen
    He, Jianxun
    Fan, Xingya
    POTENTIAL ANALYSIS, 2019, 51 (02) : 165 - 177
  • [7] Some Hardy Inequalities on the Heisenberg Group
    L. D'Ambrosio
    Differential Equations, 2004, 40 : 552 - 564
  • [8] Variable Hardy Spaces on the Heisenberg Group
    Jingxuan Fang
    Jiman Zhao
    Analysis in Theory and Applications, 2016, 32 (03) : 242 - 271
  • [9] CYLINDRICAL HARDY INEQUALITIES ON HALF-SPACES
    Nguyen Tuan Duy
    Huy Bac Nguyen
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2020,
  • [10] Hardy-Hausdorff spaces on the Heisenberg group
    ZHAO Kai
    ScienceChina(Mathematics), 2016, 59 (11) : 2167 - 2184
12345