# A priori estimates for integro-differential operators with measurable kernels

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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 LÃ©vy system corresponding to the process, while the precise expression of the ( L2-)generator of the Dirichlet...

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Conditional expected values in Markov chains are solutions to a set of backward differential equations, which may be ordinary or partial depending on the number of relevant state variables. This paper investigates the validity of these differential equations by locating the points of...