Uniform boundary Harnack principle for rotationally symmetric Lévy processes in general open sets

Panki Kim, Ren Ming Song, Zoran Vondraček

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we prove the uniform boundary Harnack principle in general open sets for harmonic functions with respect to a large class of rotationally symmetric purely discontinuous Lévy processes.

Original languageEnglish (US)
Pages (from-to)2317-2333
Number of pages17
JournalScience China Mathematics
Volume55
Issue number11
DOIs
StatePublished - Nov 2012

Keywords

  • Lévy processes
  • Poisson kernel
  • boundary Harnack principle
  • harmonic functions
  • subordinate Brownian motion

ASJC Scopus subject areas

  • Mathematics(all)

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