Minimal thinness with respect to subordinate killed Brownian motions

Minimal thinness is a notion that describes the smallness of a set at a boundary point. In this paper, we provide tests for minimal thinness for a large class of subordinate killed Brownian motions in bounded C1,1C1,1 domains, C1,1C1,1 domains with compact complements and domains above graphs of bounded C1,1C1,1 functions.