On exit time from balls of jump-type symmetric Markov processes

On exit time from balls of jump-type symmetric Markov processes
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DOI:
10.1007/s10114-010-6173-4
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发表时间:
2010-01
期刊:
Acta Mathematica Sinica, English Series
影响因子:
--
通讯作者:
T. Uemura
T. Uemura
中科院分区:
其他
文献类型:
--
作者:
T. Uemura

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我们得到了跳型对称马氏过程的球的退出时间的上界和下界。样张是单独寄出的。上界是由对应于该过程的Lévy系统得到的,而下界是由对应于该过程的Dirichlet形式的(L2-)生成元的精确表达式得到的.
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 (L2-)generator of the Dirichlet form associated with the process is used to obtain the lower bounds.