68 citations · 439 across the 82 of their papers we have counts for
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Estimates on transition densities of subordinators with jumping density decaying in mixed polynomial orders
Soobin Cho, Panki Kim
In this paper, we discuss estimates on transition densities for subordinators, which are global in time. We establish the sharp two-sided estimates on the transition densities for…
On potential theory of Markov processes with jump kernels decaying at the boundary
Panki Kim, Renming Song, Zoran Vondraček
Motivated by some recent potential theoretic results on subordinate killed Lévy processes in open subsets of the Euclidean space, we study processes in an open set $D\subset {\math…
Estimates on the tail probabilities of subordinators and applications to general time fractional equations
Soobin Cho, Panki Kim
In this paper, we study estimates on tail probabilities of several classes of subordinators under mild assumptions on the tail of its Lévy measure. As an ap…
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(…
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…