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arXiv · 1709.03296

Fractional Hardy-Sobolev type inequalities for half spaces and John domains

Bartłomiej Dyda·Juha Lehrbäck·Antti V. Vähäkangas
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Abstract

As our main result we prove a variant of the fractional Hardy-Sobolev-Maz'ya inequality for half spaces. This result contains a complete answer to a recent open question by Musina and Nazarov. In the proof we apply a new version of the fractional Hardy-Sobolev inequality that we establish also for more general unbounded John domains than half spaces.

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Bartłomiej Dyda, Juha Lehrbäck, Antti V. Vähäkangas. 2017-09-11. Fractional Hardy-Sobolev type inequalities for half spaces and John domains. https://arxiv.org/abs/1709.03296

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