Fractional Hardy-Sobolev-Maz'ya inequality on balls and halfspaces
Functional Analysis
2015-03-17 v1 Classical Analysis and ODEs
Abstract
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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Cite
@article{arxiv.1004.5146,
title = {Fractional Hardy-Sobolev-Maz'ya inequality on balls and halfspaces},
author = {Bartłomiej Dyda},
journal= {arXiv preprint arXiv:1004.5146},
year = {2015}
}
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6 pages