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
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84902664325&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/53686
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-53686
record_format	dspace
spelling	th-cmuir.6653943832-536862018-09-04T09:55:40Z Poincaré inequality: From remote balls to all balls Santi Tasena Laurent Saloff-Coste Sompong Dhompongsa Mathematics 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. 2018-09-04T09:55:40Z 2018-09-04T09:55:40Z 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/6653943832/53686
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Santi Tasena Laurent Saloff-Coste Sompong Dhompongsa Poincaré inequality: From remote balls to all balls
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
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/6653943832/53686
_version_	1681424181511585792

Poincaré inequality: From remote balls to all balls

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