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Functional versions of Lp-affine surface area and entropy inequalities

dc.contributor.authorCaglar, Umut
dc.contributor.authorFradelizi, Matthieu
dc.contributor.authorGuédon, Olivier
HAL ID: 176947
dc.contributor.authorLehec, Joseph
HAL ID: 11520
ORCID: 0000-0001-6182-9427
dc.contributor.authorSchütt, Carsten
dc.contributor.authorWerner, Elisabeth
dc.date.accessioned2014-02-27T08:26:12Z
dc.date.available2014-02-27T08:26:12Z
dc.date.issued2016
dc.identifier.issn1073-7928
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12767
dc.language.isoenen
dc.subjectaffine isoperimetric inequalities
dc.subjectentropy
dc.subjectlog- Sobolev inequalities
dc.subject.ddc515en
dc.titleFunctional versions of Lp-affine surface area and entropy inequalities
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherMathematisches Institut Universität Kiel;Allemagne
dc.contributor.editoruniversityotherUniversité Paris Est Laboratoire d’Analyse et de Mathématiques Appliquées (U MR 8050);
dc.contributor.editoruniversityotherDepartment of Mathematics Case Western Reserve University;États-Unis
dc.description.abstractenIn contemporary convex geometry, the rapidly developing Lp-Brunn Minkowskitheory is a modern analogue of the classical Brunn Minkowski theory. A cornerstoneof this theory is the Lp-affine surface area for convex bodies. Here, we introducea functional form of this concept, for log concave and s-concave functions. Weshow that the new functional form is a generalization of the original Lp-affinesurface area. We prove duality relations and affine isoperimetric inequalities for logconcave and s-concave functions. This leads to a new inverse log-Sobolevinequality for s-concave densities
dc.publisher.cityParisen
dc.relation.isversionofjnlnameInternational Mathematics Research Notices
dc.relation.isversionofjnlvol2016
dc.relation.isversionofjnlissue4
dc.relation.isversionofjnldate2016
dc.relation.isversionofjnlpages1223-1250
dc.relation.isversionofdoi10.1093/imrn/rnv151
dc.relation.isversionofjnlpublisherDuke University Press
dc.subject.ddclabelAnalyseen
dc.description.submittedouien
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2017-01-03T16:13:40Z


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