Geodesic
Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains
Krzysztof Bogdan 1   ; Bartłomiej Dyda 1
1 Institute of Mathematics Wrocław University of Technology 50-370 Wrocław, Poland
Studia Mathematica, Tome 157 (2003) no. 1, pp. 83-96 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/sm157-1-7
Keywords: domains exact asymptotics near domains boundary green function martin kernel rotation invariant alpha stable process obtain relative fatou theorem harmonic functions stable process

Krzysztof Bogdan  1   ; Bartłomiej Dyda  1

1 Institute of Mathematics Wrocław University of Technology 50-370 Wrocław, Poland 
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 invariant stable processes in smooth domains
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 invariant stable processes in smooth domains
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Krzysztof Bogdan; Bartłomiej Dyda. Relative Fatou theorem for harmonic functions of rotation
 invariant stable processes in smooth domains. Studia Mathematica, Tome 157 (2003) no. 1, pp. 83-96. doi: 10.4064/sm157-1-7

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