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

作　　者：孟进 张静[1] MENG Jin;ZHANG Jing(School of Mathematics and Statistics,Hainan Normal University,Haikou,571158,China;School of Information Engineering,The College of Arts and Sciences Kunming,Kunming,650222,China)

机构地区：[1]海南师范大学数学与统计学院,海口571158 [2]昆明文理学院信息工程学院,昆明650222

出　　处：《应用概率统计》2023年第1期1-9,共9页Chinese Journal of Applied Probability and Statistics

基　　金：国家自然科学基金项目(批准号:11871184、12161029、11701127);云南省教育厅科学研究基金项目(批准号:2023J1380);海南省自然科学基金项目(批准号:121RC1149)资助。

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.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.

关 键 词：狄氏型变换 拟正则狄氏型 马氏过程 二阶微分算子 伪微分算子 

分 类 号：O211.62[理学—概率论与数理统计]