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

Michael Ruzhansky; Bolys Sabitbek; Durvudkhan Suragan

doi:10.1007/s43034-020-00067-9

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

Michael Ruzhansky, Bolys Sabitbek, Durvudkhan Suragan

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In this paper we present L² 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.

Original language	English
Pages (from-to)	1042-1061
Number of pages	20
Journal	Annals of Functional Analysis
Volume	11
Issue number	4
DOIs	https://doi.org/10.1007/s43034-020-00067-9
Publication status	Accepted/In press - 2020

Keywords

Convex domain
Geometric Hardy inequality
Half-space
Stratified groups

ASJC Scopus subject areas

Analysis
Anatomy
Algebra and Number Theory

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KW - Geometric Hardy inequality

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KW - Stratified groups

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