Fractional Hardy-Sobolev-Maz'ya inequality on balls and halfspaces

Details Fractional Hardy-Sobolev-Maz'ya inequality on balls and halfspaces Fractional Hardy-Sobolev-Maz'ya inequality on balls and halfspaces

2010-04-28

arxiv.org/abs/1004.5146v1

Mathematics

Functional Analysis

6 pages

Scientific paper

We prove fractional Hardy--Sobolev--Maz'ya inequality for balls and a
half-space, partially answering the open problem posed by Frank and Seiringer
[arXiv:0906.1561v1 [math.FA], 2009] We note that for half-spaces this
inequality has been recently obtained by Sloane [arXiv:1004.4828v1 [math.FA],
2010].

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