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Hypercontractivity for perturbed diffusion semigroups

Patrick Cattiaux
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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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Patrick Cattiaux. 2005-10-12. Hypercontractivity for perturbed diffusion semigroups. https://arxiv.org/abs/math/0510258

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