Proper holomorphic mappings vs. peak points and Shilov boundary

被引：6
|
作者：
Kosinski, Lukasz [1 ]
Zwonek, Wlodzimierz [1 ]
机构：
[1] Jagiellonian Univ, Fac Math & Comp Sci, Dept Math, PL-30348 Krakow, Poland
来源：
ANNALES POLONICI MATHEMATICI | 2013年 / 107卷 / 01期
关键词：
Shilov boundary; peak points; proper holomorphic mappings; c-finite compactness; pseudoconvex Reinhardt domains; SYMMETRIZED BIDISC; DOMAINS; GEOMETRY;
D O I：
10.4064/ap107-1-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页码：97 / 108
页数：12
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