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On the Quasi-regularity of Semi-Dirichlet Forms |
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| Authors: | Fitzsimmons P.J. |
| Affiliation: | (1) Department of Mathematics, University of California, San Diego, 9500 Gilman Drive, La Jolla, CA, 92093-0112, U.S.A |
| 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 develop the theory of Revuz measures in the semi-Dirichlet context and we show that quasi-regularity is invariant with respect to time change. |
| Keywords: | Semi-Dirichlet form quasi-regular standard process quasi-continuous right process tightness continuous additive functional time change. |
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