Boundary Harnack Principle for Symmetric Stable Processes

Renming Song, Jang Mei Wu

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper we study potential-theoretic properties of the symmetric α-stable processes (0<α<2): establishing the boundary Harnack principle for ratios of α-harmonic functions on any open sets, identifying the Martin boundary with the Euclidean boundary for open sets with a certain interior fatness property, and extending earlier results on intrinsic ultracontractivity and the conditional gauge theorem to certain open sets.

Original languageEnglish (US)
Pages (from-to)403-427
Number of pages25
JournalJournal of Functional Analysis
Volume168
Issue number2
DOIs
StatePublished - Nov 10 1999

Keywords

  • Boundary Harnack principle
  • Conditional gauge theorem
  • Intrinsic ultracontractivity
  • Martin boundary
  • Symmetric stable processes

ASJC Scopus subject areas

  • Analysis

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