On the weighted fractional Poincare-type inequalities

2017/12/22 by Hurri-Syrjänen, Ritva, López-García, Fernando
#26D10 #46E35 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1712.08450

Abstract

Weighted fractional Poincaré-type inequalities are proved on John domains whenever the weights defined on the domain are depending on the distance to the boundary and to an arbitrary compact set in the boundary of the domain.

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• Improved fractional Poincaré type inequalities on John domains
• Fractional Sobolev-Poincar 'e and fractional Hardy inequalities in\n unbounded John domains