Intrinsic ultracontractivity and conditional gauge for symmetric stable processes

Zhen Qing Chen, Renming Song

Research output: Contribution to journalArticlepeer-review

Abstract

It is shown in this paper that the conditional gauge theorem holds for symmetricα-stable processes on boundedC1,1domains inRnwhere 0<α<2 andn≥2. Two of the major tools used to prove this conditional gauge theorem are logarithmic Sobolev inequality and intrinsic ultracontractivity.

Original languageEnglish (US)
Pages (from-to)204-239
Number of pages36
JournalJournal of Functional Analysis
Volume150
Issue number1
DOIs
StatePublished - Oct 15 1997

ASJC Scopus subject areas

  • Analysis

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