68 citations · 439 across the 82 of their papers we have counts for
85 papers
Heat kernel estimates for Markov processes in bounded sets with jump kernels decaying at the boundary
Soobin Cho, Panki Kim, Renming Song +1
In this paper, we study two types of purely discontinuous symmetric Markov processes in bounded smooth subsets of : conservative processes and processes killed eit…
Heat kernel estimates for Markov processes with blowing-up jump kernels
Soobin Cho, Panki Kim, Renming Song +1
In this paper, we establish sharp two-sided heat kernel estimates for a large class of purely discontinuous symmetric Markov processes on closed subsets of , whos…
Stability of Hölder regularity and weighted functional inequalities
Soobin Cho, Panki Kim
We study symmetric Dirichlet forms on metric measure spaces, which may possess both strongly local and pure-jump parts. We introduce a new formulation of a tail condition for jump…
Heat kernel estimates for Schrödinger operators with supercritical killing potentials
Soobin Cho, Panki Kim, Renming Song
In this paper, we study the Schrödinger operator , where is a supercritical non-negative potential belonging to a large class of functions containing functions of the form…
Markov processes with jump kernels decaying at the boundary
Soobin Cho, Panki Kim, Renming Song +1
The goal of this work is to develop a general theory for non-local singular operators of the type $$ L^{\mathcal{B}}_αf(x)=\lim_{ε\to 0} \int_{D,\, |y-x|>ε}\big(f(y)-f(x)\big) \mat…
Laws of the iterated logarithm for occupation times of Markov processes
Soobin Cho, Panki Kim, Jaehun Lee
In this paper, we discuss the laws of the iterated logarithm (LIL) for occupation times of Markov processes in general metric measure space both near zero and near infinity und…