Acta mathematica scientia,Series A ›› 2010, Vol. 30 ›› Issue (3): 623-629.

• Articles • Previous Articles     Next Articles

On Perturbation of Generalized Dirichlet Forms by Singed Smooth Measures and the Associated Nice Markov Processes

 HAN Xin-Fang, MA Li, YANG Xue   

  1. School of Mathematical Science and Computing Technology, Central South University, Changsha 410075|Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190; Department of Mathematics and statistics, Concordia University, Monteal H4B1R6, Canada; Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190
  • Received:2008-11-05 Revised:2009-10-21 Online:2010-05-25 Published:2010-05-25
  • Supported by:

    国家自然科学基金(10961012)资助

Abstract:

This paper studies the perturbations εμ  of the generalized Dirichlet form ε by some signed smooth measures and the associated Markov processes.  It proves that the perturbations are also generalized Dirichlet forms and associated with ``nice'' Markov processes under some conditions.

Key words: Generalized Dirichlet Form, Smooth measure, Perturbation,  m-tight special standard process

CLC Number: 

  • 31C25
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