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Carathéodory balls and norm balls of the domain \(H=\{(z_ 1,z_ 2)\in \mathbb{C}^ 2:| z_ 1| +| z_ 2| < 1\}\)

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Publication:1310156
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DOI10.1007/BF02761694zbMath0786.32020OpenAlexW2074770956MaRDI QIDQ1310156

Binyamin Schwarz

Publication date: 18 May 1994

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02761694


zbMATH Keywords

Carathéodory ballsnorm balls


Mathematics Subject Classification ID

Invariant metrics and pseudodistances in several complex variables (32F45)


Related Items

Carathéodory balls and norm balls in \(H_ n = \{ z\in \mathbb{C}^ n:\| z\|_ 1 < 1\}\) ⋮ Carathéodory balls and norm ball of the domains \(H_ n = \{ z\in\mathbb{C}^ n: | z_ 1| +\cdots +| z_ n| <1\}\) ⋮ Carathéodory balls and norm balls in a class of convex bounded Reinhardt domains



Cites Work

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  • On a minimal complex norm that extends the real Euclidean norm
  • Zu den Abbildungen durch analytische Funktionen mehrerer komplexer Veränderlichen. Die Invarianz des Mittelpunktes von Kreiskörpern
  • The Kobayashi and Bergman Metrics on Generalized Thullen Domains
  • Bounds for the carathéodory distance of the unit ball∗
  • On the geometry of some matrix domains
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