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dc.contributor.authorLoss, Michael
dc.contributor.authorKowalczyk, Michal
dc.contributor.authorEsteban, Maria J.
dc.contributor.authorDolbeault, Jean
dc.date.accessioned2012-10-11T07:22:28Z
dc.date.available2012-10-11T07:22:28Z
dc.date.issued2013
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/10461
dc.language.isoenen
dc.subjectheat equationen
dc.subjectlogarithmic Sobolev inequalityen
dc.subjectGagliardo-Nirenberg inequalitiesen
dc.subjectinterpolationen
dc.subjectSobolev inequalityen
dc.subject.ddc515en
dc.titleSharp interpolation inequalities on the sphere: new methods and consequencesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherSchool of Mathematics - Georgia Institute of Technology http://www.math.gatech.edu Georgia Institute of Technology (Georgia Tech);États-Unis
dc.contributor.editoruniversityotherDepto Ingeniería Matemática (DIM) http://www.dim.uchile.cl Facultad de Ciencias Fisicas y Matemáticas – Universidad de Chile;Chili
dc.description.abstractenThese notes are devoted to various considerations on a family of sharp interpolation inequalities on the sphere, which in dimension two and higher interpolate between Poincaré, logarithmic Sobolev and critical Sobolev (Onofri in dimension two) inequalities. We emphasize the connexion between optimal constants and spectral properties of the Laplace-Beltrami operator on the sphere. We shall address a series of related observations and give proofs based on symmetrization and the ultraspherical setting.en
dc.relation.isversionofjnlnameChinese Annals of Mathematics. Series B
dc.relation.isversionofjnlvol34
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2013
dc.relation.isversionofjnlpages99-112
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s11401-012-0756-6
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00739140en
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelAnalyseen
dc.description.submittednonen


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