Some weighted Hardy and Rellich inequalities on the Heisenberg group

被引：4
作者：
Xi, Lin [1 ,2 ]
Dou, Jingbo [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
[2] GanSu Inst Mech & Elect Engn, Tianshui 741001, Gansu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF MATHEMATICS | 2021年 / 32卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Heisenberg group; Hardy inequality; Rellich inequality; best constants; CONSTANTS; THEOREMS; SPACES;
D O I：
10.1142/S0129167X21500117
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we establish some weighted Hardy and Rellich inequalities and discuss its best constants on the Heisenberg group. Moreover, we also present a class of higher-order weighted Hardy-Rellich inequalities with the remainder term.
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页数：28
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