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The sharp constant in the Hardy-Sobolev-Maz’ya inequality in the three dimensional upper half-space

Benguria, Rafael D. and Frank, Rupert L. and Loss, Michael (2007) The sharp constant in the Hardy-Sobolev-Maz’ya inequality in the three dimensional upper half-space. . (Submitted) https://resolver.caltech.edu/CaltechAUTHORS:20170511-064913855

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Abstract

It is shown that the sharp constant in the Hardy-Sobolev-Maz’ya inequality on the upper half space H^3 ⊂ R^3 is given by the Sobolev constant. This is achieved by a duality argument relating the problem to a Hardy-Littlewood-Sobolev type inequality whose sharp constant is determined as well.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/0705.3833arXivDiscussion Paper
Additional Information:© 2007 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. May 7, 2007 (Submitted on 25 May 2007) Work partially supported by Fondecyt (CHILE) projects 106–0651 and 706–0200, and CONICYT/PBCT Proyecto Anillo de Investigaciόn en Ciencia y Tecnología ACT30/2006. Work partially supported by the Swedish Foundation for International Cooperation in Research and Higher Education (STINT). Work partially supported by NSF-grant DMS-0600037.
Funders:
Funding AgencyGrant Number
Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) Chile 106–0651
Fondo Nacional de Desarrollo Científico y Tecnológico (FONDECYT) Chile706–0200
Comisión Nacional de Investigación Científica y Tecnológica (CONICYT)ACT30/2006
UNSPECIFIED
Record Number:CaltechAUTHORS:20170511-064913855
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170511-064913855
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77362
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:12 May 2017 23:56
Last Modified:03 Oct 2019 17:56

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