A+ CATEGORY SCIENTIFIC UNIT

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

Volume 157 / 2003

Krzysztof Bogdan, Bartłomiej Dyda 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.

Authors

  • Krzysztof BogdanInstitute of Mathematics
    Wrocław University of Technology
    50-370 Wrocław, Poland
    e-mail
  • Bartłomiej DydaInstitute of Mathematics
    Wrocław University of Technology
    50-370 Wrocław, Poland
    e-mail

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