QUASI-REGULAR DIRICHLET FORMS AND MARKOV-PROCESSES

被引：23

作者：

ALBEVERIO, S

MA, ZM

ROCKNER, M

机构：

[1] ACAD SINICA,INST APPL MATH,BEIJING 100080,PEOPLES R CHINA

[2] UNIV BONN,INST ANGEW MATH,W-5300 BONN 1,GERMANY

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 1993年 / 111卷 / 01期

关键词：

D O I：

10.1006/jfan.1993.1007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We identify an analytic property of a (non-symmetric) Dirichlet form on a general (topological state space called “quasi-regularity” which we prove to be equivalent with the existence of an associated standard Markov process, respectively the existence of an associated pair of right processes. In addition, we prove a one to one correspondence between all quasi-regular Dirichlet forms and all (equivalence classes of) pairs of “m-sectorial" right processes. © 1993 Academic Press Limited.

引用

页码：118 / 154

页数：37

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