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.

引用

页数：28

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