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Abstract We provide a Maz'ya-type characterization for a fractional Hardy inequality. As an application, we show that a bounded open set G admits a fractional Hardy inequality if and only if the associated fractional capacity is quasiadditive with respect to Whitney cubes of G and the zero extension operator acting on C c ( G ) is bounded in an appropriate manner.
Advances in Calculus of Variations – de Gruyter
Published: Apr 1, 2015
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