%0 Journal Article %T On fractional Poincar¨¦ inequalities %A Ritva Hurri-Syrj£¿nen %A Antti V. V£¿h£¿kangas %J Mathematics %D 2011 %I arXiv %X 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. %U http://arxiv.org/abs/1111.3604v1