Necessary and Sufficient Conditions for a Class Positive Local Martingale

Chuanzhong Chen, Saisai Yang^*

Department of Mathematics, Hainan Normal University, Haikou, China.

DOI: 10.4236/apm.2014.410063                

Abstract

Let X be a Markov process, which is assumed to be associated with a (non-symmetric) Dirichlet form (E,D(E)) on L² (E;m). For , the extended Dirichlet space, we give necessary and sufficient conditions for a multiplicative functional to be a positive local martingale.

Keywords

Markov Process, Dirichlet Form, Multiplicative Functional, Positive Local Martingale

Conflicts of Interest

The authors declare no conflicts of interest.

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