# Boundary Harnack Inequality for alpha-harmonic functions on the Sierpiński triangle - Mathematics > Probability

Abstract: We prove an uniform boundary Harnack inequality for nonnegative functionsharmonic with respect to $\alpha$-stable process on the Sierpi{\-n}skitriangle, where $\alpha \in 0, 1$. Our result requires no regularityassumptions on the domain of harmonicity.

Author: Kamil Kaleta, Mateusz Kwaśnicki

Source: https://arxiv.org/