Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences
| Author | dc.contributor.author | Dolbeault, Jean | |
| Author | dc.contributor.author | Esteban, María J. | es_CL |
| Author | dc.contributor.author | Kowalczyk, Michal | es_CL |
| Author | dc.contributor.author | Loss, Michael | es_CL |
| Admission date | dc.date.accessioned | 2014-03-14T18:36:54Z | |
| Available date | dc.date.available | 2014-03-14T18:36:54Z | |
| Publication date | dc.date.issued | 2013 | |
| Cita de ítem | dc.identifier.citation | Chin. Ann. Math. 34B(1), 2013, 99–112 | en_US |
| Identifier | dc.identifier.other | DOI: 10.1007/s11401-012-0756-6 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/126455 | |
| General note | dc.description | Artículo de publicación ISI | en_US |
| Abstract | dc.description.abstract | This paper is devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension greater than 1 interpolate between Poincar´e, logarithmic Sobolev and critical Sobolev (Onofri in dimension two) inequalities. The connection between optimal constants and spectral properties of the Laplace-Beltrami operator on the sphere is emphasized. The authors address a series of related observations and give proofs based on symmetrization and the ultraspherical setting. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Publisher | dc.publisher | Springer | en_US |
| Type of license | dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Chile | * |
| Link to License | dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/cl/ | * |
| Keywords | dc.subject | Sobolev inequality | en_US |
| Título | dc.title | Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences | en_US |
| Document type | dc.type | Artículo de revista |
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