Hardy inequalities with Aharonov-Bohm type magnetic field on the Heisenberg group
被引:3
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作者:
Xiao, Yingxiong
论文数: 0引用数: 0
h-index: 0
机构:
Hubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R ChinaHubei Engn Univ, Sch Math & Stat, Xiaogan 432000, Hubei, Peoples R China
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
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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.
机构:
Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
GanSu Inst Mech & Elect Engn, Tianshui 741001, Gansu, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
Xi, Lin
Dou, Jingbo
论文数: 0引用数: 0
h-index: 0
机构:
Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R ChinaShaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
机构:
Univ Paris, Sorbonne Univ, INRIA, CNRS,Lab Jacques Louis Lions, Paris, FranceUniv Paris, Sorbonne Univ, INRIA, CNRS,Lab Jacques Louis Lions, Paris, France
Franceschi, Valentina
Prandi, Dario
论文数: 0引用数: 0
h-index: 0
机构:
Univ Paris Saclay, CNRS, Lab Signaux & Syst, Cent Supelec, F-91190 Gif Sur Yvette, FranceUniv Paris, Sorbonne Univ, INRIA, CNRS,Lab Jacques Louis Lions, Paris, France