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arXiv · 1109.6570

Fractional Hardy-Sobolev-Maz'ya inequality for domains

Bartłomiej Dyda·Rupert L. Frank
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Abstract

We prove a fractional version of the Hardy--Sobolev--Maz'ya inequality for arbitrary domains and $L^p$ norms with $p\geq 2$. This inequality combines the fractional Sobolev and the fractional Hardy inequality into a single inequality, while keeping the sharp constant in the Hardy inequality.

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Bartłomiej Dyda, Rupert L. Frank. 2011-09-29. Fractional Hardy-Sobolev-Maz'ya inequality for domains. https://arxiv.org/abs/1109.6570

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