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Sharp Interpolation Inequalities on the Sphere: New Methods and Consequences

dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.contributor.authorEsteban, Maria J.
HAL ID: 738381
ORCID: 0000-0003-1700-9338
dc.contributor.authorKowalczyk, Michal
dc.contributor.authorLoss, Michael
dc.date.accessioned2014-01-10T14:38:48Z
dc.date.available2014-01-10T14:38:48Z
dc.date.issued2014
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12389
dc.language.isoenen
dc.subjectInequalityen
dc.subjectInterpolationen
dc.subjectGagliardo-Nirenberg inequalityen
dc.subjectLogarithmic Sobolev inequalityen
dc.subjectHeat equationen
dc.subject.ddc515en
dc.titleSharp Interpolation Inequalities on the Sphere: New Methods and Consequencesen
dc.typeChapitre d'ouvrage
dc.description.abstractenThis paper is devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension greater than 1 interpolate between Poincaré, 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
dc.identifier.citationpages225-242en
dc.relation.ispartoftitlePartial Differential Equations: Theory, Control and Approximation. In Honor of the Scientific Heritage of Jacques-Louis Lionsen
dc.relation.ispartofeditorCiarlet, Philippe G.
dc.relation.ispartofeditorLi, Tatsien
dc.relation.ispartofeditorMaday, Yvon
dc.relation.ispartofpublnameSpringeren
dc.relation.ispartofpublcityBerlinen
dc.relation.ispartofdate2014
dc.relation.ispartofpages429en
dc.relation.ispartofurlhttp://dx.doi.org/10.1007/978-3-642-41401-5en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00739140en
dc.subject.ddclabelAnalyseen
dc.relation.ispartofisbn978-3-642-41400-8en
dc.relation.forthcomingnonen
dc.identifier.doihttp://dx.doi.org/10.1007/978-3-642-41401-5_9en


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