86 citations · 223 across the 19 of their papers we have counts for
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math.PR2013
Gradient estimates of harmonic functions and transition densities for Levy processes
Tadeusz Kulczycki, Michal Ryznar
We prove gradient estimates for harmonic functions with respect to a -dimensional unimodal pure-jump Levy process under some mild assumptions on the density of its Levy measure.…
math.PR2013★ 13 cited
Barriers, exit time and survival probability for unimodal Lévy processes
Krzysztof Bogdan, Tomasz Grzywny, Michał Ryznar
We construct superharmonic functions and give sharp bounds for the expected exit time and probability of survival for isotropic unimodal Lévy processes
math.FA2013
Density and tails of unimodal convolution semigroups
Krzysztof Bogdan, Tomasz Grzywny, Michał Ryznar
We give sharp bounds for the isotropic unimodal probability convolution semigroups when their Lévy-Khintchine exponent has Matuszewska indices strictly between 0 and 2.