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.
Łukasz Kosiński (2009)
Annales Polonici Mathematici
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Stefan Bergman (1977)
Annales Polonici Mathematici
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Umberto Sampieri (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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Si dà una caratterizzazione completa per tracce di funzioni olomorfe a quadrato sommabile per particolari misure su domini tubolari.
Wiegerinck, Jan J.O.O. (1984)
Mathematische Zeitschrift
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Väisälä, Jussi (1994)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Włodzimierz Zwonek
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Our work is divided into five chapters. In Chapter I we introduce necessary notions and we present the most important facts that we shall use. We also present our main results. Chapter I covers the following topics: • holomorphically contractible families of functions and pseudometrics, their basic properties, product property, Lempert Theorem, notion of geodesic, problem of finding effective formulas for invariant functions and pseudometrics and geodesics, completeness...
Krantz, Steven G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Giorgio Patrizio (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Nikolai Nikolov (2006)
Annales Polonici Mathematici
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We prove that the symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains.
Marco Abate (1985)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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In questa Nota vengono determinati, con un nuovo metodo elementare, i gruppi di automorfismi del terzo e del quarto dominio classico. Gli strumenti utilizzati sono quelli già introdotti nella precedente Nota, ove erano stati usati per determinare il gruppo degli automorfismi del primo dominio classico.
M. Jarnicki, P. Pflug (1989)
Annales Polonici Mathematici
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Sergio Venturini (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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It is shown that under certain conditions every holomorphic isometry for the Carathéodory or the Kobayashi distances is an isometry for the corrisponding metrics. These results are used to give a characterization of biholomorphic mappings between convex domains and complete circular domains.
Gilberto Dini, Angela Selvaggi Primicerio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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S. Bell (1988)
Mathematische Annalen
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I. Ramadanov (1983)
Banach Center Publications
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Nguyen Quang Dieu, Nguyen Thac Dung, Dau Hoang Hung (2005)
Annales Polonici Mathematici
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We study the B-regularity of some classes of domains in ℂⁿ. The results include a complete characterization of B-regularity in the class of Reinhardt domains, we also give some sufficient conditions for Hartogs domains to be B-regular. The last result yields sufficient conditions for preservation of B-regularity under holomorphic mappings.
Armen Edigarian (2004)
Annales Polonici Mathematici
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We show that the symmetrized bidisc 𝔾₂ = {(λ₁+λ₂,λ₁λ₂):|λ₁|,|λ₂| < 1} ⊂ ℂ² cannot be exhausted by domains biholomorphic to convex domains.
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.