Proper holomorphic mappings vs. peak points and Shilov boundary

• Autorzy: Łukasz Kosiński , Włodzimierz Zwonek
• Języki publikacji: EN

Abstrakty

EN

We present a result on the 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.

Kategorie tematyczne

• 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
• 32F45: Invariant metrics and pseudodistances
• 32T40: Peak functions
• 32H35: Proper mappings, finiteness theorems

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2013
• Tom: 107
• Numer: 1
• Strony: 97-108

Daty

wydano

2013

Twórcy

autor

Łukasz Kosiński

• Department of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

autor

Włodzimierz Zwonek

• Department of Mathematics, Faculty of Mathematics and Computer Science, Jagiellonian University, Łojasiewicza 6, 30-348 Kraków, Poland

Identyfikatory

DOI

10.4064/ap107-1-7