Geodesic
The image of a finely holomorphic map is pluripolar
Armen Edigarian1 ; Said El Marzguioui2 ; Jan Wiegerinck2
1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2 KdV Institute for Mathematics University of Amsterdam PO box 94248 1090 GE Amsterdam, The Netherlands
Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 137-149.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that the image of a finely holomorphic map on a fine domain in $\mathbb{C}$ is a pluripolar subset of $\mathbb{C}^{n}$. We also discuss the relationship between pluripolar hulls and finely holomorphic functions.
DOI : 10.4064/ap97-2-3
Keywords: prove image finely holomorphic map fine domain mathbb pluripolar subset mathbb discuss relationship between pluripolar hulls finely holomorphic functions

Armen Edigarian 1 ; Said El Marzguioui 2 ; Jan Wiegerinck 2

1 Institute of Mathematics Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
2 KdV Institute for Mathematics University of Amsterdam PO box 94248 1090 GE Amsterdam, The Netherlands 
@article{10_4064_ap97_2_3,
     author = {Armen Edigarian and Said El Marzguioui and Jan Wiegerinck},
     title = {The image of a finely holomorphic map is pluripolar},
     journal = {Annales Polonici Mathematici},
     pages = {137--149},
     publisher = {mathdoc},
     volume = {97},
     number = {2},
     year = {2010},
     doi = {10.4064/ap97-2-3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-3/}
}
TY  - JOUR
AU  - Armen Edigarian
AU  - Said El Marzguioui
AU  - Jan Wiegerinck
TI  - The image of a finely holomorphic map is pluripolar
JO  - Annales Polonici Mathematici
PY  - 2010
SP  - 137
EP  - 149
VL  - 97
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-3/
DO  - 10.4064/ap97-2-3
LA  - en
ID  - 10_4064_ap97_2_3
ER  - 
%0 Journal Article
%A Armen Edigarian
%A Said El Marzguioui
%A Jan Wiegerinck
%T The image of a finely holomorphic map is pluripolar
%J Annales Polonici Mathematici
%D 2010
%P 137-149
%V 97
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-3/
%R 10.4064/ap97-2-3
%G en
%F 10_4064_ap97_2_3
Armen Edigarian; Said El Marzguioui; Jan Wiegerinck. The image of a finely holomorphic map is pluripolar. Annales Polonici Mathematici, Tome 97 (2010) no. 2, pp. 137-149. doi : 10.4064/ap97-2-3. http://geodesic.mathdoc.fr/articles/10.4064/ap97-2-3/

Cité par Sources :