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 $\mathbb C$-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.
