Boundary Harnack inequality for α-harmonic functions on the Sierpiński triangle
Kamil Kaleta, Mateusz Kwaśnicki · 2010
ABSTRACT. We prove a uniform boundary Harnack inequality for nonnegative functions harmonic with respect to α-stable process on the Sierpiński triangle, where α ∈ (0, 1). Our result requires no regularity assumptions on the domain of harmonicity. 1.