Minimal thinness with respect to subordinate killed Brownian motions

Panki Kim, Renming Song and Zoran Vondraček

Stochastic Processes and their Applications, 2016, vol. 126, issue 4, 1226-1263

Abstract: 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 C1,1 domains, C1,1 domains with compact complements and domains above graphs of bounded C1,1 functions.

Keywords: Minimal thinness; Subordinate killed Brownian motions; Killed subordinate Brownian motions; Censored stable processes; Transition density; Green function; Martin kernel; Quasi-additivity; Wiener-type criterion (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:spapps:v:126:y:2016:i:4:p:1226-1263

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DOI: 10.1016/j.spa.2015.10.016

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