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Remarks on quasi-Reinhardt domains

Part of: Holomorphic functions of several complex variables Holomorphic mappings and correspondences

Published online by Cambridge University Press:  27 December 2018

Fengbai Li  and
Feng Rong
Fengbai Li
Affiliation:
Department of Applied Mathematics, School of Mathematics, Shanghai University of Finance and Economics, 777 Guo Ding Road, Shanghai 200433, P.R. China (li.fengbai@mail.shufe.edu.cn)
Feng Rong
Affiliation:
Department of Mathematics, School of Mathematical Sciences, Shanghai Jiao Tong University, 800 Dong Chuan Road, Shanghai 200240, P.R. China (frong@sjtu.edu.cn)
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Abstract

We present some fundamental properties of quasi-Reinhardt domains, in connection with Kobayashi hyperbolicity, minimal domains and representative domains. We also study proper holomorphic correspondences between quasi-Reinhardt domains.

Keywords

quasi-Reinhardt domainminimal domainrepresentative domainKobayashi hyperbolicBergman kernelproper holomorphic correspondence

MSC classification

Primary: 32A07: Special domains (Reinhardt, Hartogs, circular, tube)
Secondary: 32A25: Integral representations; canonical kernels (Szegő, Bergman, etc.) 32H99: None of the above, but in this section
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 2 , April 2019 , pp. 297 - 304
Copyright
Copyright © Royal Society of Edinburgh 2018 

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