Decay rate of harmonic functions

Sep 1, 2015·
Tomasz Juszczyszyn
Tomasz Juszczyszyn
,
Mateusz Kwaśnicki
· 0 min read
Image credit: Unsplash
Abstract
n this paper we investigate functions that are harmonic with respect to the non-symmetric strictly α-stable Lévy processes on an open set D∈ℝd. We obtain the explicit formula for their boundary decay rate at parts of the boudary of D outside of which they vanish.
Publication
Studia Mathematica