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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Displaying similar documents to “Proper holomorphic mappings vs. peak points and Shilov boundary”
A Reflection Principle for Proper Holomorphic Mappings of Strongly Pseudoconvex Domains and Applications.
Proper holomorphic mappings in the special class of Reinhardt domains
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.
Hölder continuity of proper holomorphic mappings
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.
Normed domains of holomorphy.
Krantz, Steven G. (2010)
International Journal of Mathematics and Mathematical Sciences
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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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Proper Holomorphic Images of Strictly Pseudoconvex Domains.
Klas Diederich, John Eric Fornaess (1982)
Mathematische Annalen
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Extension of correspondences between rigid polynomial domains
Nabil Ourimi (2005)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Proper holomorphic mappings from strongly pseudoconvex domains in C... to the unit polydisc in C...
Berit Stensones (1989)
Mathematica Scandinavica
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Embeddings and Proper Holomorphic Maps of Strictly Pseudoconvex Domains into Polydiscs and Balls.
Erik Low (1985)
Mathematische Zeitschrift
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Estimates for Derivates of Holomorphic Functions in Pseudoconvex Domains.
Frank Jr. Beatrous (1986)
Mathematische Zeitschrift
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Erratum to "Proper holomorphic mappings in the special class of Reinhardt domains" (Ann. Polon. Math. 92 (2007), 285-297)
Łukasz Kosiński (2009)
Annales Polonici Mathematici
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Proper Holomorphic Mappings Between Real-Analytic Pseudoconvex Domains in Cn.
J.E. Fornaess, K. Diederich (1988)
Mathematische Annalen
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Proper holomorphic mappings between rigid polynomial domains in C.
Bernard Coupet, Nabil Ourimi (2001)
Publicacions Matemàtiques
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We describe the branch locus of proper holomorphic mappings between rigid polynomial domains in C. It appears, in particular, that it is controlled only by the first domain. As an application, we prove that proper holomorphic self-mappings between such domains are biholomorphic.
Condition and Fefferman's mapping theorem.
Darko, Patrick (2002)
International Journal of Mathematics and Mathematical Sciences
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