WEAK-TYPE NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS IN BANACH SPACES AND CHARACTERIZATION OF THE HILBERT BALL BY ITS AUTOMORPHISM GROUP
SCOPUS
- Title
- WEAK-TYPE NORMAL FAMILIES OF HOLOMORPHIC MAPPINGS IN BANACH SPACES AND CHARACTERIZATION OF THE HILBERT BALL BY ITS AUTOMORPHISM GROUP
- Authors
- Kang-Tae Kim; J. Byun; H. Gaussier
- Date Issued
- 2002-01
- Publisher
- American Mathematical Society
- Abstract
- We present a characterization of the open unit ball in a separable infinite dimensional Hilbert space by the property of automorphism orbits among the domains that are not necessarily bounded. This generalizes the recent work of Kim and Krantz [6]. Key new features of this article include: a lower bound estimate of the Kobayashi metric and distance near a pluri-subharmonic peak boundary point of the domains in Banach spaces, an effective localization argument, and an improvement of weak-type convergence of sequences of biholomorphic mappings of domains in Banach spaces.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/43448
- DOI
- 10.1007/BF02930654
- ISSN
- 1050-6926
- Article Type
- Article
- Citation
- Journal of Geometric Analysis, vol. 12, no. 4, page. 581 - 599, 2002-01
- Files in This Item:
- There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.