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Transformation of symmetric multiplicative functionals

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Abstract

In the present paper the transformation of symmetric Markov processes by symmetric martingale multiplicative functionals is studied and the corresponding Dirichlet form is formulated.

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References

  1. Albeverio, S., Ma, Z., Perturbation of Dirichlet forms, lower semiboundedness, closability and form cores, J. Funct. Anal., 1991,99:332–356.

    Article  MATH  Google Scholar 

  2. Albeverio, S., Song, S., Closability and resolvent of Dirichlet forms perturbated by jumps, Pot. Anal., 1993,2:115–130.

    Article  MATH  Google Scholar 

  3. Dellacherie, C., Potentiels de Green et fonctionneles additives, Sém. de Probabilités N, Lecture Notes in Math., Vol. 124, Berlin, Heidelberg, New York:Springer-Verlag, 1970.

    Google Scholar 

  4. Fitzsimmons, P. J., Absolute continuity of symmetric diffusion, Ann. Probab., 1997,25(1):230–258.

    Article  MATH  Google Scholar 

  5. Fitzsimmons, P. J. and Getoor, R. K., Revuz measures and time changes, Math. Z., 1988,199:233–256.

    Article  MATH  Google Scholar 

  6. Fukushima, M., Dirichlet forms and Markov Processes, North-Holland, Amsterdam, 1980.

    MATH  Google Scholar 

  7. Fukushima, M., Oshima, Y., Takeda, M., Dirichlet Forms and Symmetric Markov Processes, Berlin-New York:Walter de Gruyter, 1994.

    MATH  Google Scholar 

  8. Fukushima, M. and Takeda, M., A transformation of a symmetric Markov process and the Donsker-Varadhan theory, Osaka J. Math., 1984,21:311–326.

    MATH  Google Scholar 

  9. Getoor, R. K., Sharpe, M. J., Naturality, standardness, and weak duality for Markov processes, Z. W., 1984,67:1–62.

    Article  MATH  Google Scholar 

  10. Jin Mengwei, Ying Jiangang, Representation of symmetric supermatingale multiplicative functionals, Chinese Ann. Math., 2002,4:24–29.

    Google Scholar 

  11. Sharpe, M. J., General Theory of Markov Processes, New York:Academic Press, 1988.

    MATH  Google Scholar 

  12. Walsh, J. B., Markov processes and their functionals in duality, Z. Wahrsch. Verw. Gebiete, 1972,24:229–246.

    Article  MATH  Google Scholar 

  13. Ying Jiangang, Bivariate Revuz measures and the Feynman-kac formula, Ann. Inst. H. Poincaré, Probab. Statist., 1996,32(2):251–287.

    MATH  Google Scholar 

  14. Ying Jiangang, Characterization of bivariate Revuz measures, 1997, Kyushu J. Math., 51:1–9.

    Article  Google Scholar 

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The research work of the second author is supported in part by the Natural Science Foundation of China(19501036).

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An, H., Ying, J. Transformation of symmetric multiplicative functionals. Appl. Math. Chin. Univ. 17, 451–457 (2002). https://doi.org/10.1007/s11766-996-0010-7

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  • DOI: https://doi.org/10.1007/s11766-996-0010-7

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