A note on regular Dirichlet subspaces
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- by Masatoshi Fukushima and Jiangang Ying PDF
- Proc. Amer. Math. Soc. 131 (2003), 1607-1610 Request permission
Erratum: Proc. Amer. Math. Soc. 132 (2004), 1559-1559.
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.References
- Masatoshi Fukushima, Y\B{o}ichi Ōshima, and Masayoshi Takeda, Dirichlet forms and symmetric Markov processes, De Gruyter Studies in Mathematics, vol. 19, Walter de Gruyter & Co., Berlin, 1994. MR 1303354, DOI 10.1515/9783110889741
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Additional Information
- Masatoshi Fukushima
- Affiliation: Department of Mathematics, Kansai University, Osaka 564-8680, Japan
- Email: fuku@ipcku.kansai-u.ac.jp
- Jiangang Ying
- Affiliation: Department of Mathematics, Fudan University, Shanghai 200433, People’s Republic of China
- MR Author ID: 332043
- Email: jying@math.zju.edu.cn
- Received by editor(s): August 3, 2001
- Received by editor(s) in revised form: December 18, 2001
- Published electronically: September 19, 2002
- Additional Notes: The research of the first author was supported in part by Grant-in-Aid for Scientific Research (C) (2)
The research of the second author was supported in part by NNSF of China 19501036 - Communicated by: Claudia M. Neuhauser
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 131 (2003), 1607-1610
- MSC (1991): Primary 60J45, 60J65, 31B15
- DOI: https://doi.org/10.1090/S0002-9939-02-06656-X
- MathSciNet review: 1950292