Embeddings and Proper Holomorphic Maps of Strictly Pseudoconvex Domains into Polydiscs and Balls.
Erik Low (1985)
Mathematische Zeitschrift
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Displaying similar documents to “Errata-Corrige : “Iteration theory, compactly divergent sequences and commuting holomorphic maps””
Embeddings and Proper Holomorphic Maps of Strictly Pseudoconvex Domains into Polydiscs and Balls.
Approximation by proper holomorphic maps into convex domains
Avner Dor (1993)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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A survey on geometric properties of holomorphic self-maps in some domains of ℂⁿ
Chiara Frosini, Fabio Vlacci (2007)
Annales Polonici Mathematici
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In this survey we give geometric interpretations of some standard results on boundary behaviour of holomorphic self-maps in the unit disc of ℂ and generalize them to holomorphic self-maps of some particular domains of ℂⁿ.
Rigidity of holomorphic maps and distortion of biholomorphic maps in operator Siegel domains
Kazimierz Włodarczyk (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Results concerning the rigidity of holomorphic maps and the distortion of biholomorphic maps in infinite dimensional Siegel domains of -algebras are established. The homogeneity of the open unit balls in these algebras plays a key role in the arguments.
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.
On the continuous extension of holomorphic correspondences
F. Berteloot, A. Sukhov (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Some compactness theorems of families of proper holomorphic correspondences.
Nabil Ourimi (2003)
Publicacions Matemàtiques
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In this paper we prove some compactness theorems of families of proper holomorphic correspondences. In particular we extend the well known Wong-Rosay's theorem to proper holomorphic correspondences. This work generalizes some recent results proved in [17].
Horospheres and Iterates of Holomorphic Maps.
Marco Abate (1988)
Mathematische Zeitschrift
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