Geodesic
Proper holomorphic mappings vs. peak points and Shilov boundary
Łukasz Kosiński1 ; Włodzimierz Zwonek1
1 Department of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 107 (2013) no. 1, pp. 97-108.

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

We present a result on the existence of some kind of peak functions for $\mathbb C$-convex domains and for the symmetrized polydisc. Then we apply the latter result to show the equivariance of the set of peak points for $A(D)$ under proper holomorphic mappings. Additionally, we present a description of the set of peak points in the class of bounded pseudoconvex Reinhardt domains.
DOI : 10.4064/ap107-1-7
Keywords: present result existence kind peak functions mathbb c convex domains symmetrized polydisc apply latter result equivariance set peak points under proper holomorphic mappings additionally present description set peak points class bounded pseudoconvex reinhardt domains

Łukasz Kosiński 1 ; Włodzimierz Zwonek 1

1 Department of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
@article{10_4064_ap107_1_7,
     author = {{\L}ukasz Kosi\'nski and W{\l}odzimierz Zwonek},
     title = {Proper holomorphic mappings vs. peak points and {Shilov} boundary},
     journal = {Annales Polonici Mathematici},
     pages = {97--108},
     publisher = {mathdoc},
     volume = {107},
     number = {1},
     year = {2013},
     doi = {10.4064/ap107-1-7},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap107-1-7/}
}
TY  - JOUR
AU  - Łukasz Kosiński
AU  - Włodzimierz Zwonek
TI  - Proper holomorphic mappings vs. peak points and Shilov boundary
JO  - Annales Polonici Mathematici
PY  - 2013
SP  - 97
EP  - 108
VL  - 107
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap107-1-7/
DO  - 10.4064/ap107-1-7
LA  - en
ID  - 10_4064_ap107_1_7
ER  - 
%0 Journal Article
%A Łukasz Kosiński
%A Włodzimierz Zwonek
%T Proper holomorphic mappings vs. peak points and Shilov boundary
%J Annales Polonici Mathematici
%D 2013
%P 97-108
%V 107
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.4064/ap107-1-7/
%R 10.4064/ap107-1-7
%G en
%F 10_4064_ap107_1_7
Łukasz Kosiński; Włodzimierz Zwonek. Proper holomorphic mappings vs. peak points and Shilov boundary. Annales Polonici Mathematici, Tome 107 (2013) no. 1, pp. 97-108. doi : 10.4064/ap107-1-7. http://geodesic.mathdoc.fr/articles/10.4064/ap107-1-7/

Cité par Sources :