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Killing and subordination
Author(s):
Jiangang
Ying
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2215-2222.
MSC (1991):
Primary 60J45, 60J65;
Secondary 31B15
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Abstract:
Given the one-to-one correspondence between nearly Borel right processes and non-symmetric Dirichlet forms, we prove in the present paper that the killing transform of Markov processes is equivalent to strong subordination of the respective Dirichlet forms and give a characterization of so-called bivariate smooth measures.
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- Sharpe, M.J., General theory of Markov processes, Academic Press, New York, 1988. MR 89m:60169
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- Silverstein, M.L., Symmetric Markov processes, Lecture Notes in Math. 426, Springer-Verlag, Berlin - Heidelberg - New York, 1974. MR 52:6891
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- Ying, J., Bivariate Revuz measures and the Feynman-Kac formula, to appear in Ann. Inst. Henri Poincare: Probab. Stat.
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Additional Information:
Jiangang
Ying
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou 310027, China
DOI:
10.1090/S0002-9939-96-03565-4
PII:
S 0002-9939(96)03565-4
Keywords:
Right processes,
Dirichlet forms,
subordination
Received by editor(s):
December 2, 1994
Additional Notes:
Research supported in part by funds from the National Education Committee and Probability Laboratory of the Institute of Applied Mathematics, Academia Sinica.
Communicated by:
Richard T. Durrett
Copyright of article:
Copyright
1996,
American Mathematical Society
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