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

2010/04/28 by Bartłomiej Dyda, Dyda, Bartłomiej
Mathematics · #Advanced Harmonic Analysis Research #Nonlinear Partial Differential Equations #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1004.5146

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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