Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BONNEFONT, Michel | |
| hal.structure.identifier | Department of Mathematics | |
| dc.contributor.author | BAUDOIN, Fabrice | |
| dc.date.accessioned | 2024-04-04T02:22:51Z | |
| dc.date.available | 2024-04-04T02:22:51Z | |
| dc.date.issued | 2012 | |
| dc.identifier.issn | 0022-1236 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189682 | |
| dc.description.abstractEn | Let $\M$ be a smooth connected manifold endowed with a smooth measure $\mu$ and a smooth locally subelliptic diffusion operator $L$ which is symmetric with respect to $\mu$. We assume that $L$ satisfies a generalized curvature dimension inequality as introduced by Baudoin-Garofalo \cite{BG1}. Our goal is to discuss functional inequalities for $\mu$ like the Poincaré inequality, the log-Sobolev inequality or the Gaussian logarithmic isoperimetric inequality. | |
| dc.language.iso | en | |
| dc.publisher | Elsevier | |
| dc.title.en | Log-Sobolev inequalities for subelliptic operators satisfying a generalized curvature dimension inequality | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1016/j.jfa.2011.12.020 | |
| dc.subject.hal | Mathématiques [math]/Probabilités [math.PR] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1106.0491 | |
| bordeaux.journal | Journal of Functional Analysis | |
| bordeaux.page | 2646-2676 | |
| bordeaux.volume | 262 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 6 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00779373 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00779373v1 | |
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