Minimal thinness with respect to symmetric LÉvy processes

Panki Kim, Renming Song, Zoran Vondraček

Research output: Contribution to journalArticlepeer-review

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 at finite and infinite minimal Martin boundary points for a large class of purely discontinuous symmetric Lévy processes.

Original languageEnglish (US)
Pages (from-to)8785-8822
Number of pages38
JournalTransactions of the American Mathematical Society
Volume368
Issue number12
DOIs
StatePublished - Jan 1 2016

Keywords

  • Boundary Harnack principle
  • Green function
  • Martin kernel
  • Minimal thinness
  • Quasi-additivity
  • Symmetric Lévy process
  • Unimodal Lévy process
  • Wiener-type criterion

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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