Hypercontractivity for perturbed diffusion semigroups

2005/10/12 by Cattiaux, Patrick
#60E15 #60G10 #FOS: Mathematics #MSC 47D07 #Probability (math.PR)

paper · doi:10.48550/arxiv.math/0510258

Abstract

μ being a nonnegative measure satisfying some log-Sobolev inequality, we give conditions on F for the measure ν=e^-2F μ to also satisfy some log-Sobolev inequality. Explicit examples are studied.

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