Bounded holomorphic functions with multiple sheeted pluripolar hulls
Armen Edigarian ; Józef Siciak ; Włodzimierz Zwonek
Studia Mathematica, Tome 173 (2006), p. 233-247 / Harvested from The Polish Digital Mathematics Library
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We describe compact subsets K of ∂𝔻 and ℝ admitting holomorphic functions f with the domains of existence equal to ℂ∖K and such that the pluripolar hulls of their graphs are infinitely sheeted. The paper is motivated by a recent paper of Poletsky and Wiegerinck.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284421 
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     title = {Bounded holomorphic functions with multiple sheeted pluripolar hulls},
     journal = {Studia Mathematica},
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     year = {2006},
     pages = {233-247},
     zbl = {1109.32010},
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Armen Edigarian; Józef Siciak; Włodzimierz Zwonek. Bounded holomorphic functions with multiple sheeted pluripolar hulls. Studia Mathematica, Tome 173 (2006) pp. 233-247. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm175-3-3/