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math.PR2019★ 2 cited
On the Liouville property for non-local Lévy generators
Victoria Knopova, René Schilling
We prove a necessary and sufficient condition for the Liouville property of the infinitesimal generator of a Lévy process and subordinate Lévy processes. Combining our criterion wi…
math.PR2019
Progressive intrinsic ultracontractivity and heat kernel estimates for non-local Schrödinger operators
Kamil Kaleta, René L. Schilling
We study the long-time asymptotic behaviour of semigroups generated by non-local Schrödinger operators of the form ; the free operator is the generator of a symmetric…