On a minimal complex norm that extends the real Euclidean norm

DOI10.1007/BF01501163zbMath0638.32005MaRDI QIDQ1099299

Kyong T. Hahn, Peter Pflug

Publication date: 1988

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178366

zbMATH Keywords

Kobayashi metricCaratheodory metricbiholomorphically equivalentconvex complete circular domainminimal complex norm

Mathematics Subject Classification ID

Related Items (12)

Bergman kernels, TYZ expansions and Hankel operators on the Kepler manifold ⋮ Duality of Fock spaces with respect to the minimal norm ⋮ The Bergman kernel of the minimal ball and applications ⋮ HOLOMORPHIC AUTOMORPHISMS AND PROPER HOLOMORPHIC SELF-MAPPINGS OF A TYPE OF GENERALISED MINIMAL BALL ⋮ Limits of an increasing sequence of complex manifolds ⋮ Matrix quasinorms induced by maximal and minimal vector norms ⋮ On distance function in some new analytic Bergman type spaces in \(\mathbb C^n\) ⋮ Uniform extendibility of the Bergman kernel for generalized minimal balls ⋮ Unnamed Item ⋮ Proper holomorphic mappings and related automorphism groups ⋮ The Kobayashi and Bergman Metrics on Generalized Thullen Domains ⋮ Carathéodory balls and norm balls of the domain \(H=\{(z_ 1,z_ 2)\in \mathbb{C}^ 2:| z_ 1| +| z_ 2| < 1\}\)

Cites Work

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• Unnamed Item
• Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
• Экстремальная плюрнсубгармоническая функция единичного шара $\overline B ⊂ R^n$
• Extremal plurisubharmonic functions in $C^N$

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