Decay rate of harmonic functions for non-symmetric strictly $\alpha$-stable L\'evy processes

Tomasz Juszczyszyn

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arXiv · 1912.09602

Decay rate of harmonic functions for non-symmetric strictly $\alpha$-stable L\'evy processes

Tomasz Juszczyszyn

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Abstract

In this paper we investigate functions that are harmonic with respect to the non-symmetric strictly $\alpha$-stable L\'evy processes on an open set $D \in \mathbb{R}^d$. We obtain the explicit formula for their boundary decay rate at parts of the boudary of $D$ outside of which they vanish.

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Tomasz Juszczyszyn. 2019-12-20. Decay rate of harmonic functions for non-symmetric strictly $\alpha$-stable L\'evy processes. https://arxiv.org/abs/1912.09602

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