A fractional Hardy-Sobolev-Maz’ya inequality on the upper halfspace

DOI10.1090/S0002-9939-2011-10818-9zbMath1272.26013arXiv1004.4828OpenAlexW2041768132MaRDI QIDQ3103275

Craig Sloane

Publication date: 7 December 2011

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4828

zbMATH Keywords

Sobolev-type inequalitiesfractional Hardy-Sobolev-Maz'ya type inequalityrearrangement on the upper halfspace

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Fractional Hardy-Sobolev inequalities on half spaces, Fractional Hardy–Sobolev type inequalities for half spaces and John domains, Fractional Hardy inequalities and visibility of the boundary, Sharp fractional Hardy inequalities with a remainder for \(1 < p < 2\), Sharp trace Hardy-Sobolev-Maz'ya inequalities and the fractional Laplacian, Hardy-Sobolev-Maz'ya inequalities for polyharmonic operators, Fractional Korn and Hardy-type inequalities for vector fields in half space

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