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arXiv · 1802.01450

Green function for gradient perturbation of unimodal L\'evy processes in the real line

T. Grzywny·T. Jakubowski·G. Żurek
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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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T. Grzywny, T. Jakubowski, G. Żurek. 2018-02-02. Green function for gradient perturbation of unimodal L\'evy processes in the real line. https://arxiv.org/abs/1802.01450

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