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

Autor:	Durvudkhan Suragan, Michael Ruzhansky, Bolys Sabitbek
Rok vydání:	2020
Předmět:	Pure mathematics Control and Optimization Inequality media_common.quotation_subject Half-space Type (model theory) 01 natural sciences Mathematics - Analysis of PDEs 0103 physical sciences FOS: Mathematics 35A23 35H20 0101 mathematics media_common Mathematics Convex domain Algebra and Number Theory Functional analysis 010102 general mathematics Regular polygon Stratified groups Functional Analysis (math.FA) Mathematics - Functional Analysis Mathematics and Statistics 010307 mathematical physics Analysis Analysis of PDEs (math.AP) Geometric Hardy inequality
Zdroj:	ANNALS OF FUNCTIONAL ANALYSIS
ISSN:	2008-8752 2639-7390
DOI:	10.1007/s43034-020-00067-9
Popis:	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. 18 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3fdd8dfd3a747638f8a0f119b8ebf408 https://doi.org/10.1007/s43034-020-00067-9 Zobrazit plný text záznamu Full text from SpringerLink