Hypercontractivity for perturbed diffusion semigroups
classification
🧮 math.PR
keywords
inequalitylog-sobolevmeasuresomeconditionsdiffusionexamplesexplicit
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$\mu$ 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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