Martin boundary for some symmetric Lévy processes

Panki Kim, Renming Song, Zoran Vondracek

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this paper we study the Martin boundary of open sets with respect to a large class of purely discontinuous symmetric Lévy processes in Rd. We show that, if D=Rd is an open set which is fat at a boundary point Q=D, then there is exactly one Martin boundary point associated with Q and this Martin boundary point is minimal.

Original languageEnglish (US)
Title of host publicationFestschrift Masatoshi Fukushima
Subtitle of host publicationIn Honor Of Masatoshi Fukushima’s Sanju
EditorsZhen-Qing Chen, Niels Jacob, Masayoshi Takeda, Toshihiro Uemura
PublisherWorld Scientific Publishing Co.
Pages307-342
Number of pages36
ISBN (Electronic)9789814596534
DOIs
StatePublished - 2015

Publication series

NameInterdisciplinary Mathematical Sciences
Volume17

ASJC Scopus subject areas

  • General Mathematics
  • General Physics and Astronomy

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