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.
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页码：507 / 518
页数：12
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