A Reflection Principle for Proper Holomorphic Mappings of Strongly Pseudoconvex Domains and Applications.
J.A. Cima, S.G. Krantz, T. Suffridge (1984)
Mathematische Zeitschrift
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J.A. Cima, S.G. Krantz, T. Suffridge (1984)
Mathematische Zeitschrift
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Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
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Łukasz Kosiński, Włodzimierz Zwonek (2013)
Annales Polonici Mathematici
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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.
A. Iordan (1985)
Mathematische Annalen
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Piotr Jakóbczak (1983)
Annales Polonici Mathematici
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Łukasz Kosiński (2007)
Annales Polonici Mathematici
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A complete characterization of proper holomorphic mappings between domains from the class of all pseudoconvex Reinhardt domains in ℂ² with the logarithmic image equal to a strip or a half-plane is given.
Berit Stensones (1989)
Mathematica Scandinavica
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Frank Jr. Beatrous (1986)
Mathematische Zeitschrift
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François Berteloot (1991)
Studia Mathematica
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We prove the Hölder continuity for proper holomorphic mappings onto certain piecewise smooth pseudoconvex domains with "good" plurisubharmonic peak functions at each point of their boundaries. We directly obtain a quite precise estimate for the exponent from an attraction property for analytic disks. Moreover, this way does not require any consideration of infinitesimal metric.
Nabil Ourimi (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Krantz, Steven G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Erik Low (1985)
Mathematische Zeitschrift
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Andrei Iordan (1984/85)
Mathematische Zeitschrift
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