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) http://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) | ||||||||||
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| 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. | ||||||||||
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| Record Number: | CaltechAUTHORS:20170511-064913855 | ||||||||||
| Persistent URL: | http://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: | 12 May 2017 23:56 |
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