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- W2119005363 abstract "Dans cet article nous améliorons la méthode exposée par S. Bobkov et M. Ledoux dans [BL00]. En utilisant l’inégalité de Prékopa-Leindler, nous prouvons une inégalité de Sobolev logarithmique modifiée, adaptée à toutes les mesures sur ℝ n possédant un potentiel strictement convexe et super-linéaire. Cette inégalité implique en particulier une inégalité de Sobolev logarithmique modifiée, développée dans [GGM05, GGM07], pour les mesures ayant un potentiel uniformément strictement convexe mais aussi une inégalité de Sobolev logarithmique de type euclidien." @default.
- W2119005363 created "2016-06-24" @default.
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- W2119005363 date "2008-12-11" @default.
- W2119005363 modified "2023-10-03" @default.
- W2119005363 title "From the Prékopa-Leindler inequality to modified logarithmic Sobolev inequality" @default.
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- W2119005363 doi "https://doi.org/10.5802/afst.1184" @default.
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