Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains

Krzysztof Bogdan, and Bartłomiej Dyda. "Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains." Studia Mathematica 157.1 (2003): 83-96. <http://eudml.org/doc/284644>.

@article{KrzysztofBogdan2003,
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 α-stable Lévy process. We also obtain a relative Fatou theorem for harmonic functions of the stable process.},
author = {Krzysztof Bogdan, Bartłomiej Dyda},
journal = {Studia Mathematica},
keywords = {relative Fatou theorem; symmetric stable process; -harmonic function},
language = {eng},
number = {1},
pages = {83-96},
title = {Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains},
url = {http://eudml.org/doc/284644},
volume = {157},
year = {2003},
}

TY - JOUR
AU - Krzysztof Bogdan
AU - Bartłomiej Dyda
TI - Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains
JO - Studia Mathematica
PY - 2003
VL - 157
IS - 1
SP - 83
EP - 96
AB - 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 α-stable Lévy process. We also obtain a relative Fatou theorem for harmonic functions of the stable process.
LA - eng
KW - relative Fatou theorem; symmetric stable process; -harmonic function
UR - http://eudml.org/doc/284644
ER -