QUASI-REGULAR DIRICHLET FORMS - EXAMPLES AND COUNTEREXAMPLES

被引：37

作者：

ROCKNER, M ^{[1
]}

SCHMULAND, B ^{[1
]}

机构：

[1] UNIV ALBERTA, DEPT STAT & APPL PROBABIL, EDMONTON, AB T6G 2G1, CANADA

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1995年 / 47卷 / 01期

关键词：

DIRICHLET FORMS; QUASI-REGULARITY; CAPACITIES; SMOOTH MEASURES; EXCEPTIONAL SETS; TIGHTNESS; SQUARE FIELD OPERATOR; M PROCESSES; DEGENERATE CASES;

D O I：

10.4153/CJM-1995-009-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove some new results on quasi-regular Dirichlet forms. These include results on perturbations of Dirichlet forms, change of speed measure, and tightness. The tightness implies the existence of an associated right continuous strong Markov process. We also discuss applications to a number of examples including cases with possibly degenerate (sub)-elliptic part, diffusions on loop spaces, and certain Fleming-Viot processes.

引用

页码：165 / 200

页数：36

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