Contents

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