Abstract: We show that fractional (p,p)-Poincare inequalities and even fractional Sobolev-Poincare inequalities hold for bounded John domains, and especially for bounded Lipschitz domains. We also prove sharp fractional (1,p)-Poincare inequalities for s-John domains.
Publication Year: 2011
Publication Date: 2011-11-15
Language: en
Type: preprint
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Cited By Count: 12
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