Proper holomorphic mappings vs. peak points and Silov boundary

W. Zwonek; L. Kosinski

Proper holomorphic mappings vs. peak points and Silov boundary

Complex Variables 2012-05-16 v2

Authors: W. Zwonek , L. Kosinski

Abstract

We present a result on 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.

Keywords

pseudoconvex domains holomorphic mappings holomorphic dynamics

Cite

@article{arxiv.1110.2132,
  title  = {Proper holomorphic mappings vs. peak points and Silov boundary},
  author = {W. Zwonek and L. Kosinski},
  journal= {arXiv preprint arXiv:1110.2132},
  year   = {2012}
}

Comments

To appear in Ann. Pol. Math

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