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

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Abstract

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.

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Correspondence to Toshihiro Uemura.

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

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Uemura, T. On exit time from balls of jump-type symmetric Markov processes. Acta. Math. Sin.-English Ser. 26, 185–192 (2010). https://doi.org/10.1007/s10114-010-6173-4

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  • DOI: https://doi.org/10.1007/s10114-010-6173-4

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