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International Press, Communications in Mathematical Sciences, 4(5), p. 971-979

DOI: 10.4310/cms.2007.v5.n4.a12

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Interpolation between logarithmic Sobolev and Poincaré inequalities

Journal article published in 2007 by Anton Arnold, Jean-Philippe Bartier, Jean Dolbeault ORCID
This paper is made freely available by the publisher.
This paper is made freely available by the publisher.

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Abstract

This 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. oui