arXiv:1802.01450 Abstract | arXiv Analytics

arXiv:1802.01450 [math.AP]Abstract References Reviews Resources

Green function for gradient perturbation of unimodal Lévy processes in the real line

Published 2018-02-02Version 1

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.

Comments: arXiv admin note: text overlap with arXiv:1505.07700

Categories: math.AP, math.PR

Keywords: green function, unimodal lévy processes, gradient perturbation, real line, symmetric unimodal levy processes

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