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Green function for gradient perturbation of unimodal Lévy processes in the real line (1802.01450v1)
Published 2 Feb 2018 in math.AP and math.PR
Abstract: We prove that the Green function of a generator of symmetric unimodal L\'evy processes with the weak lower scaling order bigger than one and the Green function of its gradient perturbations are comparable for bounded $C{1,1}$ subsets of the real line if the drift function is from an appropriate Kato class.
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