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arXiv · 1004.3016

Dimension-independent Harnack inequalities for subordinated semigroups

Maria Gordina·Michael Röckner·Feng-Yu Wang
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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 $α$ satisfies a dimension-free Harnack inequality provided $α\in(1/2, 1)$, and it satisfies the log-Harnack inequality for all $α\in (0,1).$ Some infinite-dimensional examples are also presented.

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Maria Gordina, Michael Röckner, Feng-Yu Wang. 2010-04-18. Dimension-independent Harnack inequalities for subordinated semigroups. https://arxiv.org/abs/1004.3016

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