摘要

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 alpha satisfies a dimension-free Harnack inequality provided, and it satisfies the log-Harnack inequality for all alpha aaEuro parts per thousand(0, 1). Some infinite-dimensional examples are also presented.