Proper holomorphic mappings in the special class of Reinhardt domains

Łukasz Kosiński

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Displaying similar documents to “Proper holomorphic mappings in the special class of Reinhardt 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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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.

Proper holomorphic mappings between bounded complete Reinhardt domains in C2.

F. Berteloot, S. Pinchuk (1995)

Mathematische Zeitschrift

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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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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 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.