Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains
Volume 157 / 2003
Studia Mathematica 157 (2003), 83-96
MSC: Primary 31B25, 60J45.
DOI: 10.4064/sm157-1-7
Abstract
For $C^{1,1}$ domains we give exact asymptotics near the domain's boundary for the Green function and Martin kernel of the rotation invariant $\alpha $-stable Lévy process. We also obtain a relative Fatou theorem for harmonic functions of the stable process.
