Subelliptic geometric Hardy type inequalities on half-spaces and convex domains

被引：6

作者：

Ruzhansky, Michael ^{[1
,2
]}

Sabitbek, Bolys ^{[2
,3
]}

Suragan, Durvudkhan ^{[4
]}

机构：

[1] Univ Ghent, Dept Math Anal Log & Discrete Math, Ghent, Belgium

[2] Queen Mary Univ London, Sch Math Sci, London, England

[3] Al Farabi Kazakh Natl Univ, Inst Math & Math Modeling, Alma Ata, Kazakhstan

[4] Nazarbayev Univ, Sch Sci & Humanities, Dept Math, 53 Kabanbay Batyr Ave, Nursultan 010000, Kazakhstan

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2020年 / 11卷 / 04期

基金：

英国工程与自然科学研究理事会;

关键词：

Stratified groups; Geometric Hardy inequality; Half-space; Convex domain;

D O I：

10.1007/s43034-020-00067-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present L-2 and L-p versions of the geometric Hardy inequalities in half-spaces and convex domains on stratified (Lie) groups. As a consequence, we obtain the geometric uncertainty principles. We give examples of the obtained results for the Heisenberg and the Engel groups.

引用

页码：1042 / 1061

页数：20

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