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Dirichlet Forms Associated with Linear Diffusions |
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Citation: |
Xing FANG,Ping HE,Jiangang YING.Dirichlet Forms Associated with Linear Diffusions[J].Chinese Annals of Mathematics B,2010,31(4):507~518 |
Page view: 1978
Net amount: 1083 |
Authors: |
Xing FANG; Ping HE; Jiangang YING; |
Foundation: |
the National Natural Science Foundation of China (Nos. 10771131, 10671036). |
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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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