English

Hypercontractivity for perturbed diffusion semigroups

Probability 2007-05-23 v1

Abstract

μ\mu being a nonnegative measure satisfying some log-Sobolev inequality, we give conditions on F for the measure ν=e2Fμ\nu=e^{-2F} \mu to also satisfy some log-Sobolev inequality. Explicit examples are studied.

Keywords

Cite

@article{arxiv.math/0510258,
  title  = {Hypercontractivity for perturbed diffusion semigroups},
  author = {Patrick Cattiaux},
  journal= {arXiv preprint arXiv:math/0510258},
  year   = {2007}
}