Proper holomorphic mappings vs. peak points and Shilov boundary
Volume 107 / 2013
Annales Polonici Mathematici 107 (2013), 97-108
MSC: Primary 32T40; Secondary 32H35, 32A07, 32F45.
DOI: 10.4064/ap107-1-7
Abstract
We present a result on the existence of some kind of peak functions for -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.
