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arXiv · 1308.1886

Characterizations for fractional Hardy inequality

Bartłomiej Dyda·Antti V. Vähäkangas
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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.

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Bartłomiej Dyda, Antti V. Vähäkangas. 2013-11-07. Characterizations for fractional Hardy inequality. https://arxiv.org/abs/1308.1886

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