engleski

Unavoidable collections of balls for censored stable processes

We study avoidability of collections of balls in bounded $C^{; ; ; ; ; ; 1, 1}; ; ; ; ; ; $ opens sets for censored $\alpha$-stable processes, $\alpha\in (1, 2)$. The results are analog to the ones obtained for Brownian motion in S.J.Gardiner, M.Ghergu, Champagne subregions of the unit ball with unavoidable bubbles, Ann.Acad.Sci.Fenn.Math. 35, (2010) 321–-329. On the way we derive a Wiener-Aikawa-type criterion for minimal thinness with respect to the censored stable processes.

censored stable process ; minimal thinness

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