Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences

dc.creatorDolbeault, Jean
dc.creatorEsteban, María J.
dc.creatorKowalczyk, Michal
dc.creatorLoss, Michael
dc.date.accessioned2014-03-14T18:36:54Z
dc.date.available2014-03-14T18:36:54Z
dc.date.created2014-03-14T18:36:54Z
dc.date.issued2013
dc.identifierChin. Ann. Math. 34B(1), 2013, 99–112
dc.identifierDOI: 10.1007/s11401-012-0756-6
dc.identifierhttps://repositorio.uchile.cl/handle/2250/126455
dc.description.abstractThis 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.
dc.languageen
dc.publisherSpringer
dc.rightshttp://creativecommons.org/licenses/by-nc-nd/3.0/cl/
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Chile
dc.subjectSobolev inequality
dc.titleSharp Interpolation Inequalities on the Sphere: New Methods and Consequences
dc.typeArtículo de revista


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