General gauge and conditional gauge theorems

Zhen Qing Chen, Renming Song

Research output: Contribution to journalArticlepeer-review


General gauge and conditional gauge theorems are established for a large class of (not necessarily symmetric) strong Markov processes, including Brownian motions with singular drifts and symmetric stable processes. Furthermore, new classes of functions are introduced under which the general gauge and conditional gauge theorems hold. These classes are larger than the classical Kato class when the process is Brownian motion in a bounded C1,1 domain.

Original languageEnglish (US)
Pages (from-to)1313-1339
Number of pages27
JournalAnnals of Probability
Issue number3
StatePublished - Jul 2002
Externally publishedYes


  • Conditional gauge theorem
  • Gauge theorem
  • Green's function

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


Dive into the research topics of 'General gauge and conditional gauge theorems'. Together they form a unique fingerprint.

Cite this