Fractional Hardy–Sobolev–Maz'ya inequality for domains
Volume 208 / 2012
Studia Mathematica 208 (2012), 151-166
MSC: Primary 26D10; Secondary 46E35, 31C25.
DOI: 10.4064/sm208-2-3
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.
