时间变换下具有有限二阶矩跳跃核的非局部狄氏型的紧性  

Compactness for Time-Change of Non-local Dirichlet Forms with Finite Second Moment Jumping Kernels

作　　者：张龙腾[1,2] 陈瑾 ZHANG Longteng;CHEN Jin(Concord University College,Fujian Normal University,Fuzhou,350117,China;College of Mathematics and Informatics,Fujian Normal University,Fuzhou,350117,China)

机构地区：[1]福建师范大学协和学院,福州350117 [2]福建师范大学数学与信息学院,福州350117

出　　处：《应用概率统计》2022年第4期563-580,共18页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the National Natural Science Foundation of China(Grant No.12071076);the Program for Education and Scientific Research Project of Young and Middle-Aged Teachers in Fujian Province(Grant Nos.JAT191128,JT180818).

摘　　要：本文给出了时间变换下,具有有限二阶矩跳跃核的非局部狄氏型对应马氏半群紧性的充分必要判别条件.In this paper,we present explicit sufficient and necessary conditions for the compactness of the semigroups associated with time change of non-local Dirichlet forms,whose jumping kernels have finite second moment.

关 键 词：紧性 非局部狄氏型 时间变换 超庞加莱不等式 

分 类 号：O211.62[理学—概率论与数理统计]