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The Poincaré Inequality and Reverse Doubling Weights

Published online by Cambridge University Press:  20 November 2018

Ritva Hurri-Syrjänen
Ritva Hurri-Syrjänen*
Affiliation:
Department of Mathematics P.O. Box 4 (Yliopiston katu 5) FIN-00014 University of Helsinki Finland, e-mail: hurrisyr@cc.helsinki.fi
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Abstract

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We show that Poincaré inequalities with reverse doubling weights hold in a large class of irregular domains whenever the weights satisfy certain conditions. Examples of these domains are John domains.

Keywords

46E35reverse doubling weightsPoincaré inequalityJohn domains
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 2 , 01 June 2004 , pp. 206 - 214
Copyright
Copyright © Canadian Mathematical Society 2004

References

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