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

Published 28 Apr 2010 in math.FA and math.CA | (1004.5146v1)

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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Bartłomiej Dyda

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