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A note on regular Dirichlet subspaces
Author(s):
Masatoshi
Fukushima;
Jiangang
Ying
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1607-1610.
MSC (1991):
Primary 60J45, 60J65, 31B15
Posted:
September 19, 2002
Errata:
Proc. Amer. Math. Soc. 132 (2004), 1559-1559.
MathSciNet review:
1950292
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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:
-
- 1.
- Fukushima, M., Oshima, Y., Takeda, M., Dirichlet forms and symmetric Markov processes, Walter de Gruyter, Berlin-New York, 1994. MR 96f:60126
- 2.
- Rudin, W., Real and complex analysis, McGraw-Hill, 1986. MR 88k:00002
- 3.
- Ying, J., Killing and subordination, Proc. Amer. Math. Soc. 124, No. 7(1996), pp. 2215-2222. MR 97a:31005
- 4.
- Yoshida, K., Functional analysis, Springer-Verlag, 1965
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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
Email:
jying@math.zju.edu.cn
DOI:
10.1090/S0002-9939-02-06656-X
PII:
S 0002-9939(02)06656-X
Keywords:
Regular Dirichlet space,
distorted Brownian motion
Received by editor(s):
August 3, 2001
Received by editor(s) in revised form:
December 18, 2001
Posted:
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 of article:
Copyright
2002,
American Mathematical Society
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