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The Poincaré Inequality and Reverse Doubling Weights

  Published:2004-06-01
 Printed: Jun 2004
  • Ritva Hurri-Syrjänen
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Abstract

We show that Poincar\'e 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: reverse doubling weights, Poincaré inequality, John domains reverse doubling weights, Poincaré inequality, John domains
MSC Classifications: 46E35 show english descriptions Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems 46E35 - Sobolev spaces and other spaces of ``smooth'' functions, embedding theorems, trace theorems
 

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