Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains
Krzysztof Bogdan ; Bartłomiej Dyda
Studia Mathematica, Tome 157 (2003), p. 83-96 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

For C1,1 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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:284644 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-7,
     author = {Krzysztof Bogdan and Bart\l omiej Dyda},
     title = {Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains},
     journal = {Studia Mathematica},
     volume = {157},
     year = {2003},
     pages = {83-96},
     zbl = {1048.31006},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-7}
}

Krzysztof Bogdan; Bartłomiej Dyda. Relative Fatou theorem for harmonic functions of rotation invariant stable processes in smooth domains. Studia Mathematica, Tome 157 (2003) pp. 83-96. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm157-1-7/