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hal.structure.identifierDepartment of Mathematics
dc.contributor.authorBAUDOIN, Fabrice
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorBONNEFONT, Michel
dc.date.accessioned2024-04-04T03:18:41Z
dc.date.available2024-04-04T03:18:41Z
dc.date.issued2015
dc.identifier.issn0362-546X
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194433
dc.description.abstractEnWe study Bakry-Emery type estimates for the Laplace-Beltrami operator of a totally geodesic foliation. In particular, we are interested in situations for which the Γ2 operator may not be bounded from below but the horizontal Bakry-Emery curvature is. As we prove it, under a bracket generating condition, this weaker condition is enough to imply several functional inequalities for the heat semigroup including the Wang-Harnack inequality and the log-Sobolev inequality. We also prove that, under proper additional assumptions, the generalized curvature dimension inequality introduced by Baudoin-Garofalo is uniformly satisfied for a family of Riemannian metrics that converge to the sub-Riemannian one.
dc.description.sponsorshipAux frontières de l'analyse Harmonique - ANR-12-BS01-0013
dc.language.isoen
dc.publisherElsevier
dc.title.enCurvature-dimension estimates for the Laplace-Beltrami operator of a totally geodesic foliation
dc.typeArticle de revue
dc.identifier.doi10.1016/j.na.2015.06.025
dc.subject.halMathématiques [math]/Probabilités [math.PR]
dc.subject.halMathématiques [math]/Géométrie différentielle [math.DG]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.identifier.arxiv1412.3777
bordeaux.journalNonlinear Analysis: Theory, Methods and Applications
bordeaux.page159-169
bordeaux.volume126
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01138611
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01138611v1
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