arXiv subjects

Grzegorz Żurek

Publications and source records attributed to Grzegorz Żurek.

2 recordsLinked to original sources

arXiv2022

Estimates of gradient of $\mathcal{L}$-harmonic functions for nonlocal operators with order $α>1$

We obtain Grönwall type estimates for the gradient of the harmonic functions for a Lévy operator with order strictly larger than 1 and minimal assumptions of its Lévy measure.

math.AP↗

arXiv2015

Green function for gradient perturbation of unimodal Lévy processes

We prove that the Green function of a generator of isotropic unimodal Lévy processes with the weak lower scaling order bigger than one and the Green function of its gradient perturbations are comparable for bounded smooth open sets if the drift function is from an appropriate Kato class.

math.AP↗