Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
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Klas Diederich, John Eric Fornaess (1982)
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Nessim Sibony, Monique Hakim (1986)
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R. Michael Range (1973)
Mathematische Annalen
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Erik Low (1985)
Mathematische Zeitschrift
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François Berteloot (1991)
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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.
Frank Jr. Beatrous (1986)
Mathematische Zeitschrift
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S. Bell, E. Bedford (1985)
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.
Krantz, Steven G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Toshikazu Sunada (1978)
Mathematische Annalen
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Piotr Jakóbczak (1983)
Annales Polonici Mathematici
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Steve Bell (1985)
Mathematische Annalen
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J.E. Fornaess, K. Diederich (1988)
Mathematische Annalen
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Alan Huckleberry (1977)
Mathematische Annalen
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