A+ CATEGORY SCIENTIFIC UNIT

Proper holomorphic mappings vs. peak points and Shilov boundary

Volume 107 / 2013

Łukasz Kosiński, Włodzimierz Zwonek Annales Polonici Mathematici 107 (2013), 97-108 MSC: Primary 32T40; Secondary 32H35, 32A07, 32F45. DOI: 10.4064/ap107-1-7

Abstract

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.

Authors

  • Łukasz KosińskiDepartment of Mathematics
    Faculty of Mathematics and Computer Science
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail
  • Włodzimierz ZwonekDepartment of Mathematics
    Faculty of Mathematics and Computer Science
    Jagiellonian University
    Łojasiewicza 6
    30-348 Kraków, Poland
    e-mail

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