On fractional Poincaré inequalities

Details On fractional Poincaré inequalities On fractional Poincaré inequalities

2011-11-15

arxiv.org/abs/1111.3604v1

Mathematics

Functional Analysis

Scientific paper

We show that fractional (p,p)-Poincar\'e inequalities and even fractional
Sobolev-Poincar\'e inequalities hold for bounded John domains, and especially
for bounded Lipschitz domains. We also prove sharp fractional (1,p)-Poincar\'e
inequalities for s-John domains.

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