On Exit Time from Balls of Jump-type Symmetric Markov Processes  

作　　者：Toshihiro UEMURA 

机构地区：[1]Department of Mathematics, Faculty of Engineering Science, Kansai University

出　　处：《Acta Mathematica Sinica,English Series》2010年第1期185-192,共8页数学学报（英文版）

基　　金：Supported partly by Grand-in-Aid for Scientific Research (C)

摘　　要：We obtain upper and lower bounds of the exit times from balls of a jump-type symmetric Markov process. The proofs are delivered separately. The upper bounds are obtained by using the Levy system corresponding to the process, while the precise expression of the （L^2-）generator of the Dirichlet form associated with the process is used to obtain the lower bounds.We obtain upper and lower bounds of the exit times from balls of a jump-type symmetric Markov process. The proofs are delivered separately. The upper bounds are obtained by using the Levy system corresponding to the process, while the precise expression of the （L^2-）generator of the Dirichlet form associated with the process is used to obtain the lower bounds.

关 键 词：symmetric Dirichlet form jump-type Markov process Levy system exit times from balls 

分 类 号：O211.62[理学—概率论与数理统计] TS246.4[理学—数学]