Poincaré inequality: From remote balls to all balls

It is shown that the Poincaré inequality holds uniformly for all balls whenever it holds for Z-remote balls providing the set Z satisfies some additional conditions including the condition that Z does not separate the space. The aim of this paper is to prove similar results without using this assump...

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Main Authors:	Santi Tasena, Laurent Saloff-Coste, Sompong Dhompongsa
Format:	Journal
Published:	2018
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902664325&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45595
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-45595
record_format	dspace
spelling	th-cmuir.6653943832-455952018-01-24T06:12:46Z Poincaré inequality: From remote balls to all balls Santi Tasena Laurent Saloff-Coste Sompong Dhompongsa It is shown that the Poincaré inequality holds uniformly for all balls whenever it holds for Z-remote balls providing the set Z satisfies some additional conditions including the condition that Z does not separate the space. The aim of this paper is to prove similar results without using this assumption. © 2014 Elsevier Ltd. All rights reserved. 2018-01-24T06:12:46Z 2018-01-24T06:12:46Z 2014-01-01 Journal 0362546X 2-s2.0-84902664325 10.1016/j.na.2014.05.015 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902664325&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45595
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
description	It is shown that the Poincaré inequality holds uniformly for all balls whenever it holds for Z-remote balls providing the set Z satisfies some additional conditions including the condition that Z does not separate the space. The aim of this paper is to prove similar results without using this assumption. © 2014 Elsevier Ltd. All rights reserved.
format	Journal
author	Santi Tasena Laurent Saloff-Coste Sompong Dhompongsa
spellingShingle	Santi Tasena Laurent Saloff-Coste Sompong Dhompongsa Poincaré inequality: From remote balls to all balls
author_facet	Santi Tasena Laurent Saloff-Coste Sompong Dhompongsa
author_sort	Santi Tasena
title	Poincaré inequality: From remote balls to all balls
title_short	Poincaré inequality: From remote balls to all balls
title_full	Poincaré inequality: From remote balls to all balls
title_fullStr	Poincaré inequality: From remote balls to all balls
title_full_unstemmed	Poincaré inequality: From remote balls to all balls
title_sort	poincaré inequality: from remote balls to all balls
publishDate	2018
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902664325&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/45595
_version_	1681422774783967232

Poincaré inequality: From remote balls to all balls

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