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Minimal thinness with respect to subordinate killed Brownian motions

Author

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  • Kim, Panki
  • Song, Renming
  • Vondraček, Zoran

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.

Suggested Citation

  • Kim, Panki & Song, Renming & Vondraček, Zoran, 2016. "Minimal thinness with respect to subordinate killed Brownian motions," Stochastic Processes and their Applications, Elsevier, vol. 126(4), pages 1226-1263.
    • Handle: RePEc:eee:spapps:v:126:y:2016:i:4:p:1226-1263
    DOI: 10.1016/j.spa.2015.10.016
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    References listed on IDEAS

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    1. Kim, Panki & Song, Renming & Vondraček, Zoran, 2014. "Global uniform boundary Harnack principle with explicit decay rate and its application," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 235-267.
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