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HOLOMORPHIC AUTOMORPHISMS AND PROPER HOLOMORPHIC SELF-MAPPINGS OF A TYPE OF GENERALISED MINIMAL BALL
Published online by Cambridge University Press: 18 August 2017
Abstract
In this paper, we first give a description of the holomorphic automorphism group of a convex domain which is a simple case of the so-called generalised minimal ball. As an application, we show that any proper holomorphic self-mapping on this type of domain is biholomorphic.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 96 , Issue 3 , December 2017 , pp. 455 - 467
- Copyright
- © 2017 Australian Mathematical Publishing Association Inc.
Footnotes
The authors are partially supported by the National Natural Science Foundation of China (Grant No. 11371246).
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