Harnack Inequalities for Jump Processes |
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Authors: | Richard F Bass David A Levin |
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Institution: | (1) Department of Mathematics, University of Connecticut, Storrs, CT 06269, USA |
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Abstract: | We consider a class of pure jump Markov processes in R
d
whose jump kernels are comparable to those of symmetric stable processes. We establish a Harnack inequality for nonnegative functions that are harmonic with respect to these processes. We also establish regularity for the solutions to certain integral equations. |
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Keywords: | Harnack inequality jump processes stable processes Lé vy systems integral equations |
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