Decay rate of harmonic functions for non-symmetric strictly $\alpha $-stable Lévy processes
Volume 260 / 2021
Studia Mathematica 260 (2021), 141-165
MSC: Primary 60J50; Secondary 31C35, 60J45.
DOI: 10.4064/sm191220-6-11
Published online: 5 May 2021
Abstract
We investigate functions that are harmonic with respect to the non-symmetric strictly $\alpha $-stable Lévy processes on an open set $D \subset \mathbb {R}^d$. We obtain an explicit formula for their boundary decay rate at parts of the boundary of $D$ outside of which they vanish.
