Estimates of the potential kernel and Harnack's inequality for the anisotropic fractional Laplacian
Volume 181 / 2007
Studia Mathematica 181 (2007), 101-123
MSC: Primary 47D03, 31C05; Secondary 60J35, 60G51.
DOI: 10.4064/sm181-2-1
Abstract
We characterize those homogeneous translation invariant symmetric non-local operators with positive maximum principle whose harmonic functions satisfy Harnack's inequality. We also estimate the corresponding semigroup and the potential kernel.
