对称保正型h-变换的几个性质

Some Property of h-transformation of Symmetric Positivity Preserving Coercive Forms

  • 摘要: 通过对称保正型(ε,D(ε))h-变换的暂留性、常返性和不可约性的讨论,证明了对称保正型的暂留性、常返性和不可约性在h-变换下是不变的,由此得到(ε,D(ε))h-结合的m-胎紧m-特殊标准马氏过程的相应性质。

     

    Abstract: Let (ε,D(ε)) be quasi-regular positivty preserving coercive forms, then (ε,D(ε))is h-associated with an m-tight special standard process. In this paper, property of h-transformation of the Symmetric positivity preserving coercive forms are discussed. It is proved that transient and recurrent are invariant under h-trasformation of symmetric Dirichlet forms. So the m-tight special standard process of (ε,D(ε)) h-associated has the same property of invariant transient and recurrent.

     

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