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Interpolation between logarithmic Sobolev and Poincaré inequalities

dc.contributor.authorDolbeault, Jean
dc.contributor.authorBartier, Jean-Philippe
dc.contributor.authorArnold, Anton
dc.date.accessioned2009-06-30T11:27:40Z
dc.date.available2009-06-30T11:27:40Z
dc.date.issued2007
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/556
dc.language.isoenen
dc.subjectgeneralized Poincaré inequalitiesen
dc.subjectperturbation
dc.subjectinterpolation
dc.subjectlogarithmic Sobolev inequalities
dc.subjectspectral gap
dc.subjectPoincaré inequalities
dc.subjectconvex Sobolev inequalities
dc.subject.ddc515en
dc.titleInterpolation between logarithmic Sobolev and Poincaré inequalitiesen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité de Versailles-Saint Quentin en Yvelines;
dc.contributor.editoruniversityotherUniversität Münster;Allemagne
dc.description.abstractenThis note is concerned with intermediate inequalities which interpolate between the logarithmic Sobolev and the Poincaré inequalities. For such generalized Poincaré inequalities we improve upon the known constants from the literature. Cette note est consacrée à des inégalités intermédiaires qui interpolent entre les inégalités de Sobolev logarithmiques et les inégalités de Poincaré. Pour de telles inégalités de Poincaré généralisées, nous améliorons les constantes données dans la littérature.en
dc.relation.isversionofjnlnameCommunications in Mathematical Sciences
dc.relation.isversionofjnlvol5en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2007
dc.relation.isversionofjnlpages971-979en
dc.relation.isversionofdoihttp://dx.doi.org/10.4310/CMS.2007.v5.n4.a12
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00005559/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelAnalyseen


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