# Hypercontractivity for perturbed diffusion semigroups

Abstract : $\mu$ being a nonnegative measure satisfying some log-Sobolev inequality, we give conditions on F for the measure $\nu=e^{-2F} \mu$ to also satisfy some log-Sobolev inequality. Explicit examples are studied.
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Cited literature [20 references]

https://hal.archives-ouvertes.fr/hal-00011201
Contributor : Patrick Cattiaux <>
Submitted on : Wednesday, October 12, 2005 - 7:07:05 PM
Last modification on : Thursday, March 5, 2020 - 6:21:12 PM
Document(s) archivé(s) le : Thursday, April 1, 2010 - 10:42:57 PM

### Citation

Patrick Cattiaux. Hypercontractivity for perturbed diffusion semigroups. 2005. ⟨hal-00011201⟩

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