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Necessary and Sufficient Conditions for a Class Positive Local Martingale

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=51071#.VFMJemfHRK0 Author(s)   Chuanzhong Chen , Saisai Yang * Affiliation(s) Department of Mathematics, Hainan Normal University, Haikou, China . ABSTRACT Let X be a Markov process, which is assumed to be associated with a (non-symmetric) Dirichlet form (E,D(E)) on L 2 (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 ...