Hardy inequalities for fractional integrals on general domains

2009/07/17 by Loss, Michael, Sloane, Craig
#35P05 #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.0907.3054

Abstract

We prove a sharp Hardy inequality for fractional integrals for functions that are supported on a general domain. The constant is the same as the one for the half-space and hence our result settles a recent conjecture of Bogdan and Dyda.

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