Mathematics – Functional Analysis
Scientific paper
2011-09-29
Mathematics
Functional Analysis
14 pages
Scientific paper
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.
Dyda Bartłomiej
Frank Rupert L.
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