|
Subordinating the killed process versus killing the subordinate process
Author(s):
Ping
He;
Jiangang
Ying
Journal:
Proc. Amer. Math. Soc.
135
(2007),
523-529.
MSC (2000):
Primary 60J45
Posted:
August 1, 2006
MathSciNet review:
2255299
Retrieve article in:
PDF
Abstract |
References |
Similar articles |
Additional information
Abstract:
In this paper we shall prove that the process obtained by killing first and subordinating next is a subprocess of the process obtained by subordinating first and killing next.
References:
-
- 1.
- Chen, Z.-Q., Song, R., Two-sided eigenvalue estimates for subordinate processes in domain, to appear in J. Funct. Anal.
- 2.
- Fukushima, M., Oshima, Y. and Takeda, M., DIRICHLET FORMS AND SYMMETRIC MARKOV PROCESSES, DE GRUYTER, BERLIN, 1994 MR 1303354 (96F:60126)
- 3.
- OKURA, H., RECURRENCE AND TRANSIENCE CRITERIA FOR SUBORDINATED MARKOV PROCESSES, FORUM MATH., 14(2002), 121-146 MR 1880197 (2002M:60146)
- 4.
- SHARPE, M.J., GENERAL THEORY OF MARKOV PROCESSES, ACADEMIC PRESS, 1988 MR 0958914 (89M:60169)
- 5.
- SILVERSTEIN, M., SYMMETRIC MARKOV PROCESSES, LECTURE NOTES IN MATH, SPRINGER, 1974 MR 0386032 (52:6891)
- 6.
- YING, J., KILLING AND SUBORDINATION, PROC. AMER. MATH. SOC., 124, NO. 7(1996), 2215-2222 MR 1346994 (97A:31005)
- 7.
- YING, J., CHARACTERIZATION OF BIVARIATE REVUZ MEASURES, KYUSHU J. MATH., 51, NO.1(1997), 185-193 MR 1437316 (98F:60148)
Similar Articles:
Retrieve articles in Proceedings of the American Mathematical
Society
with
MSC (2000):
60J45
Retrieve articles in all Journals with
MSC (2000):
60J45
Additional Information:
Ping
He
Affiliation:
Department of Applied Mathematics, Shanghai University of Finance and Economics, Shanghai, People's Republic of China
Email:
pinghe@mail.shufe.edu.cn
Jiangang
Ying
Affiliation:
Institute of Mathematics, Fudan University, Shanghai, People's Republic of China
Email:
jgying@fudan.edu.cn
DOI:
10.1090/S0002-9939-06-08471-1
PII:
S 0002-9939(06)08471-1
Keywords:
Dirichlet forms,
subprocesses,
subordinate
Received by editor(s):
April 12, 2005
Received by editor(s) in revised form:
August 18, 2005
Posted:
August 1, 2006
Additional Notes:
The research of the second author was supported in part by funding from NSFC No. 10271109
Communicated by:
Richard Bradley
Copyright of article:
Copyright
2006,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
|
