Dirichlet Forms Associated with Linear Diffusions

Citation:

Xing FANG,Ping HE,Jiangang YING.Dirichlet Forms Associated with Linear Diffusions[J].Chinese Annals of Mathematics B,2010,31(4):507~518
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Authors:

Xing FANG; Ping HE; Jiangang YING;

Foundation:

the National Natural Science Foundation of China (Nos. 10771131, 10671036).
Abstract: 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.

Keywords:

Symmetrizing measure, Linear diffusion, Dirichlet space, Regular subspace

Classification:

60J45, 60J65
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