Dimension-independent Harnack inequalities for subordinated semigroups
Probability
2010-04-20 v1
Abstract
Dimension-independent Harnack inequalities are derived for a class of subordinate semigroups. In particular, for a diffusion satisfying the Bakry-Emery curvature condition, the subordinate semigroup with power satisfies a dimension-free Harnack inequality provided , and it satisfies the log-Harnack inequality for all Some infinite-dimensional examples are also presented.
Keywords
Cite
@article{arxiv.1004.3016,
title = {Dimension-independent Harnack inequalities for subordinated semigroups},
author = {Maria Gordina and Michael Röckner and Feng-Yu Wang},
journal= {arXiv preprint arXiv:1004.3016},
year = {2010}
}