On the quasi-regularity of semi-Dirichlet forms

Authors
Fitzsimmons, PJ
Citation
Pj. Fitzsimmons, On the quasi-regularity of semi-Dirichlet forms, POTENT ANAL, 15(3), 2001, pp. 151-185
Citations number
42
Categorie Soggetti
Mathematics
Journal title
POTENTIAL ANALYSIS
ISSN journal
09262601 → ACNP
Volume
15
Issue
3
Year of publication
2001
Pages
151 - 185
Database
ISI
SICI code
0926-2601(2001)15:3<151:OTQOSF>2.0.ZU;2-N
Abstract
We prove that if a right Markov process is associated with a semi-Dirichlet form, then the form is necessarily quasi-regular. As applications, we deve lop the theory of Revuz measures in the semi-Dirichlet context and we show that quasi-regularity is invariant with respect to time change.