Sharp trace inequalities for fractional Laplacians

DOI10.1090/S0002-9939-2012-11380-2zbMath1276.35011arXiv1105.4079OpenAlexW1992795354MaRDI QIDQ2846846

Michael Loss, Amit Einav

Publication date: 3 September 2013

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

Full work available at URL: https://arxiv.org/abs/1105.4079

zbMATH Keywords

Hardy-Littlewood-Sobolev inequality

Mathematics Subject Classification ID

Fractional partial differential equations (35R11) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

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Cites Work

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• Sharp Sobolev inequalities on the sphere and the Moser-Trudinger inequality
• Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
• Best constant in Sobolev trace inequalities on the half-space
• Extremals of functionals with competing symmetries
• Best constants for Sobolev inequalities for higher order fractional derivatives
• Balls have the worst best Sobolev inequalities. II: Variants and extensions
• A sharp Sobolev trace inequality for the fractional-order derivatives
• An Extension Problem Related to the Fractional Laplacian

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