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

Fractional Hardy-Sobolev-Maz'ya inequality for domains