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: | , , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| 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 |
| Summary: | 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. |
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