SOME SHARP RELLICH TYPE INEQUALITIES ON NILPOTENT GROUPS AND APPLICATION

被引：0

作者：

连保胜 ^{[1
]}

机构：

[1] College of Science,Wuhan University of Science and Technology

来源：

Acta Mathematica Scientia | 2013年 / 33卷 / 01期

基金：

美国国家科学基金会;

关键词：

Rellich inequality; Carnot group; Heisenberg-Greiner operators;

D O I：

暂无

中图分类号：

O152 [群论];

学科分类号：

070104 ;

摘要：

We prove some Rellich type inequalities for the sub-Laplacian on Carnot nilpotent groups.Using the same method,we obtain some analogous inequalities for the Heisenberg-Greiner operators.In most cases,the constants we obtained are optimal.

引用

页码：59 / 74

页数：16

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