On fractional Poincaré inequalities

2011/11/15 by Ritva Hurri-Syrjänen, Hurri-Syrjänen, Ritva, Antti V. Vähäkangas +1 · 1 citation
Mathematics · Social Sciences · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Cultural, Psychoanalytic, and Sociopolitical Reflections

paper · pdf · doi:10.48550/arxiv.1111.3604

Abstract

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

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