Geodesic
Proper holomorphic mappings vs. peak points and Shilov boundary
Łukasz Kosiński1 ; Włodzimierz Zwonek1
1Department of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland
Annales Polonici Mathematici, Tome 107 (2013) no. 1, pp. 97-108
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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.
DOI : 10.4064/ap107-1-7
Keywords: present result existence kind peak functions mathbb c convex domains symmetrized polydisc apply latter result equivariance set peak points under proper holomorphic mappings additionally present description set peak points class bounded pseudoconvex reinhardt domains

Łukasz Kosiński  1   ; Włodzimierz Zwonek  1

1 Department of Mathematics Faculty of Mathematics and Computer Science Jagiellonian University Łojasiewicza 6 30-348 Kraków, Poland 
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Łukasz Kosiński; Włodzimierz Zwonek. Proper holomorphic mappings vs. peak points and Shilov boundary. Annales Polonici Mathematici, Tome 107 (2013) no. 1, pp. 97-108. doi: 10.4064/ap107-1-7

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