Unavoidable collections of balls for censored stable processes

We study avoidability of collections of balls in bounded C 1 , 1 opens sets for censored α-stable processes, α ∈ ( 1 , 2 ) . The results are analogous to the ones obtained for Brownian motion in Gardiner and Ghergu (2010) [11]. On the way we derive a Wiener–Aikawa-type criterion for minimal thinness with respect to the censored stable processes.