Geodesic
Fractional Hardy–Sobolev–Maz'ya inequality for domains
Bartłomiej Dyda1 ; Rupert L. Frank2
1Faculty of Mathematics University of Bielefeld Postfach 10 01 31 D-33501 Bielefeld, Germany and Institute of Mathematics and Computer Science Wrocław University of Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
2Department of Mathematics Princeton University Princeton, NJ 08544, U.S.A.
Studia Mathematica, Tome 208 (2012) no. 2, pp. 151-166
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm208-2-3
Keywords: prove fractional version hardy sobolev mazya inequality arbitrary domains norms geq inequality combines fractional sobolev fractional hardy inequality single inequality while keeping sharp constant hardy inequality

Bartłomiej Dyda  1   ; Rupert L. Frank  2

1 Faculty of Mathematics University of Bielefeld Postfach 10 01 31 D-33501 Bielefeld, Germany and Institute of Mathematics and Computer Science Wrocław University of Technology Wybrzeże Wyspiańskiego 27 50-370 Wrocław, Poland
2 Department of Mathematics Princeton University Princeton, NJ 08544, U.S.A. 
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Bartłomiej Dyda; Rupert L. Frank. Fractional Hardy–Sobolev–Maz'ya inequality for domains. Studia Mathematica, Tome 208 (2012) no. 2, pp. 151-166. doi: 10.4064/sm208-2-3

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