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.
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页码：118 / 154
页数：37
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