一类狄氏型变换及其联系的马氏过程
A Transformation of Dirichlet Forms and Its Related Markov Process
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摘要: 本文研究一类狄氏型变换.我们给出狄氏型变换后的二次型是拟正则狄氏型的充分条件,分别讨论关于二阶微分算子和伪微分算子所对应的狄氏型的狄氏型变换,得到变换前后拟正则狄氏型对应的马氏过程间的关系.Abstract: In this paper, we study a transformation of Dirichlet forms. We obtain the sufficient conditions ensuring the transformed bilinear forms is quasi-regular Dirichlet forms. We separately study about the Dirichlet form for a type of second order differential operator and jump measure, and obtain the relationship between the Markov processes which is corresponding to quasi-regular Dirichlet type before and after the transformation.