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math.PR2019★ 5 cited
Heat kernel estimates and their stabilities for symmetric jump processes with general mixed polynomial growths on metric measure spaces
Joohak Bae, Jaehoon Kang, Panki Kim +1
In this paper, we consider a symmetric pure jump Markov process on a metric measure space with volume doubling conditions. Our focus is on estimating the transition density $p(…
math.PR2019★ 5 cited
Estimates of Dirichlet heat kernels for unimodal Lévy processes with low intensity of small jumps
Soobin Cho, Jaehoon Kang, Panki Kim
In this paper, we study transition density functions for pure jump unimodal Lévy processes killed upon leaving an open set . Under some mild assumptions on the Lévy density, we…