Hardy inequalities with Aharonov-Bohm type magnetic field on the Heisenberg group

被引：3

作者：

Xiao, Yingxiong ^{[1
]}

机构：

[1] Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2015年

基金：

中国国家自然科学基金;

关键词：

Hardy inequality; Heisenberg group; Aharonov-Bohm magnetic field; RELLICH TYPE INEQUALITIES;

D O I：

10.1186/s13660-015-0617-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce an Aharonov-Bohm type magnetic field on three-dimensional Heisenberg group and show this quadratic form satisfy an improved Hardy inequality with weights.

引用

页数：6

共 37 条

[21] HARDY TYPE INEQUALITIES RELATED TO CARNOT-CARATHEODORY DISTANCE ON THE HEISENBERG GROUP
Yang, Qiao-Hua
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2013, 141 (01) : 351 - 362
[22] Hardy-Type Inequalities for the Carnot–Carathéodory Distance in the Heisenberg Group
Valentina Franceschi
Dario Prandi
The Journal of Geometric Analysis, 2021, 31 : 2455 - 2480
[23] Weighted Hardy and Rellich Types Inequalities on the Heisenberg Group with Sharp Constants
Abolarinwa, Abimbola
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2023, 30 (02) : 677 - 698
[24] Weighted Hardy and Rellich Types Inequalities on the Heisenberg Group with Sharp Constants
Abimbola Abolarinwa
Journal of Nonlinear Mathematical Physics, 2023, 30 : 677 - 698
[25] Reversed Hardy-Littlewood-Sobolev inequalities with weights on the Heisenberg group
Hu, Yunyun
ADVANCES IN NONLINEAR ANALYSIS, 2023, 12 (01)
[26] A Hardy type inequality in the half-space on Rn and Heisenberg group
Luan, Jing-Wen
Yang, Qiao-Hua
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 347 (02) : 645 - 651
[27] Some Weighted Hardy-Type Inequalities on Anisotropic Heisenberg Groups
Lian, Bao-Sheng
Yang, Qiao-Hua
Yang, Fen
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
[28] Hardy Type Inequalities on Domains with Convex Complement and Uncertainty Principle of Heisenberg
Avkhadiev, F. G.
Makarov, R. V.
LOBACHEVSKII JOURNAL OF MATHEMATICS, 2019, 40 (09) : 1250 - 1259
[29] Hardy Type Inequalities on Domains with Convex Complement and Uncertainty Principle of Heisenberg
F. G. Avkhadiev
R. V. Makarov
Lobachevskii Journal of Mathematics, 2019, 40 : 1250 - 1259
[30] Hardy-Littlewood-Sobolev and Stein-Weiss inequalities and integral systems on the Heisenberg group
Han, Xiaolong
Lu, Guozhen
Zhu, Jiuyi
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (11) : 4296 - 4314

← 1 2 3 4 →