Bounded holomorphic functions with multiple sheeted pluripolar hulls
Armen Edigarian; Józef Siciak; Włodzimierz Zwonek
Studia Mathematica (2006)
- Volume: 175, Issue: 3, page 233-247
- ISSN: 0039-3223
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topArmen Edigarian, Józef Siciak, and Włodzimierz Zwonek. "Bounded holomorphic functions with multiple sheeted pluripolar hulls." Studia Mathematica 175.3 (2006): 233-247. <http://eudml.org/doc/284421>.
@article{ArmenEdigarian2006,
abstract = {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.},
author = {Armen Edigarian, Józef Siciak, Włodzimierz Zwonek},
journal = {Studia Mathematica},
keywords = {pluripolar hull; harmonic measure; logarithmic capacity},
language = {eng},
number = {3},
pages = {233-247},
title = {Bounded holomorphic functions with multiple sheeted pluripolar hulls},
url = {http://eudml.org/doc/284421},
volume = {175},
year = {2006},
}
TY - JOUR
AU - Armen Edigarian
AU - Józef Siciak
AU - Włodzimierz Zwonek
TI - Bounded holomorphic functions with multiple sheeted pluripolar hulls
JO - Studia Mathematica
PY - 2006
VL - 175
IS - 3
SP - 233
EP - 247
AB - 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.
LA - eng
KW - pluripolar hull; harmonic measure; logarithmic capacity
UR - http://eudml.org/doc/284421
ER -
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