Harnack inequality for subordinate random walks
Mimica, Ante · Šebek, Stjepan
Original · EN
In this paper, we consider a large class of subordinate random walks X on integer lattice Zᵈ via subordinators with Laplace exponents which are complete Bernstein functions satisfying a certain lower scaling condition at zero. We establish estimates for one-step transition probabilities, the Green function and the Green function of a ball, and prove the Harnack inequality for non-negative harmonic functions.
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