Dirichlet Forms Associated with Linear Diffusions

被引：13

作者：

Fang, Xing ^{[1
]}

He, Ping ^{[2
]}

Ying, Jiangang ^{[3
]}

机构：

[1] Zhejiang Univ Technol, Dept Math, Hangzhou 310014, Zhejiang, Peoples R China

[2] Shanghai Univ Finance & Econ, Dept Math, Shanghai 200433, Peoples R China

[3] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

来源：

CHINESE ANNALS OF MATHEMATICS SERIES B | 2010年 / 31卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Symmetrizing measure; Linear diffusion; Dirichlet space; Regular subspace; SUBSPACES;

D O I：

10.1007/s11401-010-0589-0

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

One-dimensional local Dirichlet spaces associated with linear diffusions are studied. The first result is to give a representation for any 1-dim local, irreducible and regular Dirichlet space. The second result is a necessary and sufficient condition for a Dirichlet space to be regular subspace of another Dirichlet space.

引用

页码：507 / 518

页数：12

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