On fractional Hardy inequalities in convex sets

2018/02/07 by Brasco, Lorenzo, Cinti, Eleonora · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1802.02354

Abstract

We prove a Hardy inequality on convex sets, for fractional Sobolev-Slobodecki\uı spaces of order (s,p). The proof is based on the fact that in a convex set the distance from the boundary is a superharmonic function, in a suitable sense. The result holds for every 1

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