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arXiv · 2208.00747

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

Tomasz Grzywny·Tomasz Jakubowski·Grzegorz Żurek
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Abstract

We obtain Gr\"onwall type estimates for the gradient of the harmonic functions for a L\'evy operator with order strictly larger than 1 and minimal assumptions of its L\'evy measure.

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Tomasz Grzywny, Tomasz Jakubowski, Grzegorz Żurek. 2022-08-01. Estimates of gradient of $\mathcal{L}$-harmonic functions for nonlocal operators with order $\alpha>1$. https://arxiv.org/abs/2208.00747

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