Weighted Hardy and Rellich Types Inequalities on the Heisenberg Group with Sharp Constants

被引：0

作者：

Abolarinwa, Abimbola ^{[1
]}

机构：

[1] Univ Lagos, Dept Math, Akoka, Lagos, Nigeria

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2023年 / 30卷 / 02期

关键词：

Hardy inequality; Rellich inequality; Uncertainty principle; Heisenberg group; Horizontal Laplacian; UNCERTAINTY PRINCIPLE INEQUALITIES; INTERPOLATION INEQUALITIES;

D O I：

10.1007/s44198-022-00105-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper aims at deriving some weighted Hardy type and Rellich type inequalities with sharp constants on the Heisenberg group. The improved versions of these inequalities are established as well. The technique adopted involve the application of some elementary vectorial inequalities and some properties of Heisenberg group.

引用

页码：677 / 698

页数：22

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