Convex Sobolev inequalities and spectral gap
作者： Jean-Philippe Bartier , Jean Dolbeault
DOI: 10.1016/J.CRMA.2005.12.004
关键词:
摘要: This note is devoted to the proof of convex Sobolev (or generalized Poincare) inequalities which interpolate between spectral gap and logarithmic inequalities. We extend whole family results have recently been obtained by Cattiaux Carlen Loss for Under local conditions on density measure with respect a reference measure, we prove that imply all constants are uniformly bounded in limit approaching recover case as special case.
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