Geodesic
Bounded holomorphic functions with multiple sheeted pluripolar hulls
Armen Edigarian1 ; Józef Siciak1 ; W/lodzimierz Zwonek1
1Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland
Studia Mathematica, Tome 175 (2006) no. 3, pp. 233-247
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We describe compact subsets $K$ of $\partial\mathbb D$ and $\mathbb R$ admitting holomorphic functions $f$ with the domains of existence equal to ${\mathbb C}\setminus K$ and such that the pluripolar hulls of their graphs are infinitely sheeted. The paper is motivated by a recent paper of Poletsky and Wiegerinck.
DOI : 10.4064/sm175-3-3
Keywords: describe compact subsets partial mathbb mathbb admitting holomorphic functions domains existence equal mathbb setminus pluripolar hulls their graphs infinitely sheeted paper motivated recent paper poletsky wiegerinck

Armen Edigarian  1   ; Józef Siciak  1   ; W/lodzimierz Zwonek  1

1 Institute of Mathematics Jagiellonian University Reymonta 4 30-059 Kraków, Poland 
@article{10_4064_sm175_3_3,
     author = {Armen Edigarian and J\'ozef Siciak and W/lodzimierz Zwonek},
     title = {Bounded holomorphic functions with
multiple sheeted pluripolar hulls},
     journal = {Studia Mathematica},
     pages = {233--247},
     year = {2006},
     volume = {175},
     number = {3},
     doi = {10.4064/sm175-3-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm175-3-3/}
}
TY  - JOUR
AU  - Armen Edigarian
AU  - Józef Siciak
AU  - W/lodzimierz Zwonek
TI  - Bounded holomorphic functions with
multiple sheeted pluripolar hulls
JO  - Studia Mathematica
PY  - 2006
SP  - 233
EP  - 247
VL  - 175
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm175-3-3/
DO  - 10.4064/sm175-3-3
LA  - en
ID  - 10_4064_sm175_3_3
ER  - 
%0 Journal Article
%A Armen Edigarian
%A Józef Siciak
%A W/lodzimierz Zwonek
%T Bounded holomorphic functions with
multiple sheeted pluripolar hulls
%J Studia Mathematica
%D 2006
%P 233-247
%V 175
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/sm175-3-3/
%R 10.4064/sm175-3-3
%G en
%F 10_4064_sm175_3_3
Armen Edigarian; Józef Siciak; W/lodzimierz Zwonek. Bounded holomorphic functions with
multiple sheeted pluripolar hulls. Studia Mathematica, Tome 175 (2006) no. 3, pp. 233-247. doi: 10.4064/sm175-3-3

Cité par Sources :