Some properties of $\alpha$-harmonic measure
Volume 111 / 2008
Colloquium Mathematicum 111 (2008), 297-314
MSC: 31B15, 31C05.
DOI: 10.4064/cm111-2-8
Abstract
The $\alpha$-harmonic measure is the hitting distribution of symmetric $\alpha$-stable processes upon exiting an open set in ${\mathbb R}^n$ ($0<\alpha<2$, $n\geq 2$). It can also be defined in the context of Riesz potential theory and the fractional Laplacian. We prove some geometric estimates for $\alpha$-harmonic measure.
