Proper holomorphic mappings in some class of unbounded domains

DOI10.2996/KMJ/1138044089zbMath0984.32002OpenAlexW2015032579MaRDI QIDQ1975394

Włodzimierz Zwonek, Armen Edigarian

Publication date: 2 May 2002

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138044089

zbMATH Keywords

proper holomorphic mappingsReinhardt domainspluricomplex Green functions

Mathematics Subject Classification ID

(H^p)-spaces, Nevanlinna spaces of functions in several complex variables (32A35) Power series, series of functions of several complex variables (32A05) Plurisubharmonic extremal functions, pluricomplex Green functions (32U35)

Related Items (2)

Proper holomorphic mappings between Reinhardt domains in \(\mathbb C^{2}\) ⋮ Serre problem for unbounded pseudoconvex Reinhardt domains in \(\mathbb{C}^{2}\)

Cites Work

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• Fonction de Green pluricomplexe et lemmes de Schwarz dans les espaces de Banach. (Pluricomplex Green functions and Schwarzian lemmata in Banach spaces)
• Holomorphic equivalence problem for a certain class of unbounded Reinhardt domains in \(\mathbb{C}^ 2\)
• Holomorphic equivalence problem for a certain class of unbounded Reinhardt domains in \(\mathbb{C}^ 2\). II
• Invariance of the pluricomplex green function under proper mappings with applications
• Effective formulas for invariant functions - case of elementary Reinhardt domains
• Invariant distances and metrics in complex analysis

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