Power domains
Karol Borsuk (1972)
Colloquium Mathematicae
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Displaying similar documents to “Generalization of results about the Bohr radius for power series”
Power domains
On holomorphic maps between domains in
Giorgio Patrizio (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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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.
On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds
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.
On holomorphic isometries for the Kobayashi and Carathéodory distances on complex manifolds
Sergio Venturini (1989)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
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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.
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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Normed domains of holomorphy.
Krantz, Steven G. (2010)
International Journal of Mathematics and Mathematical Sciences
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Proper holomorphic mappings between Reinhards domains and pseudoellipsoids
Gilberto Dini, Angela Selvaggi Primicerio (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Non-extendable holomorphic functions of bounded growth in Reinhardt domains
P. Pflug, M. Jarnicki (1985)
Annales Polonici Mathematici
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The symmetrized polydisc cannot be exhausted by domains biholomorphic to convex domains
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.
A note on Costara's paper
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.
Proper holomorphic mappings vs. peak points and Shilov boundary
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.
On domains of monogenicity in Clifford analysis
Delanghe, Richard, Brackx, Freddy, Pincket, Willy
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The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains
Hyeseon Kim, Atsushi Yamamori (2018)
Czechoslovak Mathematical Journal
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We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan's linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.
Some envelopes of holomorphy
Edgar Lee Stout (2009)
Annales Polonici Mathematici
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We construct some envelopes of holomorphy that are not equivalent to domains in ℂⁿ.
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.