Proper holomorphic mappings vs. peak points and Silov boundary

Details Proper holomorphic mappings vs. peak points and Silov boundary Proper holomorphic mappings vs. peak points and Silov boundary

2011-10-10

arxiv.org/abs/1110.2132v1

Mathematics

Complex Variables

Scientific paper

We prove existence of some kind of peak functions for $\mathbb C$-convex
domains and for the symmetrized polydisc. Then we apply the results to show the
invariance of the set of peak points for $A(D)$ under proper holomorphic
mappings. Additionally, we present a description of peak points in the class of
bounded pseudoconvex Reinhardt domains

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