Dimension-independent Harnack inequalities for subordinated semigroups

الأصل · EN

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∈(1/2, 1), and it satisfies the log-Harnack inequality for all α∈ (0,1). Some infinite-dimensional examples are also presented.