On the regularity of extension to strictly pseudoconvex domains of functions holomorphic in a submanifold in general position
Piotr Jakóbczak (1983)
Annales Polonici Mathematici
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Piotr Jakóbczak (1983)
Annales Polonici Mathematici
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Frank Jr. Beatrous (1986)
Mathematische Zeitschrift
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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.
Krantz, Steven G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Erik Low (1985)
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.
Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
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John Erik Fornaess, David E. Barrett (1986)
Mathematische Zeitschrift
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J.A. Cima, S.G. Krantz, T. Suffridge (1984)
Mathematische Zeitschrift
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Nabil Ourimi (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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R. Michael Range (1973)
Mathematische Annalen
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Berit Stensones (1989)
Mathematica Scandinavica
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Darko, Patrick (2002)
International Journal of Mathematics and Mathematical Sciences
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Alberto Scalari (1997)
Rendiconti del Seminario Matematico della Università di Padova
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