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A note on regular Dirichlet subspaces
Authors:Masatoshi Fukushima   Jiangang Ying
Affiliation:Department of Mathematics, Kansai University, Osaka 564-8680, Japan ; Department of Mathematics, Fudan University, Shanghai 200433, People's Republic of China
Abstract:In this short article we shall consider the Dirichlet space associated with the distorted Brownian motion on a one-dimensional closed interval and prove that it admits no proper regular Dirichlet subspaces.

Keywords:Regular Dirichlet space   distorted Brownian motion
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