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

• Autorzy: Krzysztof Bogdan , Bartłomiej Dyda
• Języki publikacji: EN

Abstrakty

EN

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.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2003
• Tom: 157
• Numer: 1
• Strony: 83-96

Daty

wydano

2003

Twórcy

autor

Krzysztof Bogdan

• Institute of Mathematics, Wrocław University of Technology, 50-370 Wrocław, Poland

autor

Bartłomiej Dyda

• Institute of Mathematics, Wrocław University of Technology, 50-370 Wrocław, Poland

Identyfikatory

DOI

10.4064/sm157-1-7