Uemura, Toshihiro, On exit time from balls of jump-type symmetric Markov processes, Acta mathematica Sinica. English series (Print) , 26(1), 2010, pp. 185-192
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 Lévy 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.