Proper holomorphic mappings vs. peak points and Shilov boundary

Łukasz Kosiński, and Włodzimierz Zwonek. "Proper holomorphic mappings vs. peak points and Shilov boundary." Annales Polonici Mathematici 107.1 (2013): 97-108. <http://eudml.org/doc/280507>.

@article{ŁukaszKosiński2013,
abstract = {We present a result on the existence of some kind of peak functions for 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.},
author = {Łukasz Kosiński, Włodzimierz Zwonek},
journal = {Annales Polonici Mathematici},
keywords = {Shilov boundary; peak point; proper holomorphic mapping; -finite compactness, pseudoconvex Reinhardt domain},
language = {eng},
number = {1},
pages = {97-108},
title = {Proper holomorphic mappings vs. peak points and Shilov boundary},
url = {http://eudml.org/doc/280507},
volume = {107},
year = {2013},
}

TY - JOUR
AU - Łukasz Kosiński
AU - Włodzimierz Zwonek
TI - Proper holomorphic mappings vs. peak points and Shilov boundary
JO - Annales Polonici Mathematici
PY - 2013
VL - 107
IS - 1
SP - 97
EP - 108
AB - We present a result on the existence of some kind of peak functions for 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.
LA - eng
KW - Shilov boundary; peak point; proper holomorphic mapping; -finite compactness, pseudoconvex Reinhardt domain
UR - http://eudml.org/doc/280507
ER -