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arXiv · 1110.2132

Proper holomorphic mappings vs. peak points and Silov boundary

W. Zwonek·L. Kosinski
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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.

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W. Zwonek, L. Kosinski. 2012-05-15. Proper holomorphic mappings vs. peak points and Silov boundary. https://arxiv.org/abs/1110.2132

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