Weak-type normal families of holomorphic mappings in Banach spaces and characterization of the Hilbert ball by its automorphism group
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Publication:1407742
DOI10.1007/BF02930654zbMath1039.32003OpenAlexW2011036670MaRDI QIDQ1407742
Jisoo Byun, Hervé Gaussier, Kang-Tae Kim
Publication date: 21 October 2003
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02930654
Infinite-dimensional holomorphy (46G20) Characterizations of Hilbert spaces (46C15) Normal families of holomorphic functions, mappings of several complex variables, and related topics (taut manifolds etc.) (32A19)
Related Items (7)
Rescaling methods in complex analysis ⋮ Iteration of holomorphic maps on Lie balls ⋮ Normal families of holomorphic functions and mappings on a Banach space ⋮ A counterexample to the existence of a local plurisubharmonic peak function at infinity ⋮ Model domains in ℂ3with abelian automorphism group ⋮ Normal families of functions for subelliptic operators and the theorems of Montel and Koebe ⋮ Characterization of the unit ball in \(\mathbb{C}^n\) among complex manifolds of dimension \(n\)
Cites Work
- Characterization of the unit ball in \(\mathbb{C}^n\) by its automorphism group
- Sur une caractérisation de la boule parmi les domaines de \(\mathbb{C}^n\) par son groupe d'automorphismes
- Characterization of convex domains with noncompact automorphism group
- Characterization of the Hilbert ball by its automorphism group
- Tautness and complete hyperbolicity of domains in $\mathbb {C}^n$
- CHARACTERIZATION OF MODELS IN C2 BY THEIR AUTOMORPHISM GROUPS
- Normal families of holomorphic mappings
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