Rigidity of proper self-mapping on some kinds of generalized Hartogs triangle
type: Item
instance of: scholarly article
title: Rigidity of proper self-mapping on some kinds of generalized Hartogs triangle
zbMATH Open document ID: 1020.32012
author: De Kang Xu
author: Zhihua Chen
publication date: 2003-10-09T00:00:00Z
review text: The authors consider the proper holomorphic self-mapping of the following domain in \(\mathbb{C}^{n+m}\) \[ \Omega(p,q)= \Biggl\{(z,w)\in \mathbb{C}^{n+m}: \sum^n_{i=1}|z_i|^{2p_i}< \sum^m_{j=1}|w_j|^{2q_j}< 1\Biggr\} \] and show that such mapping is an automorphism of the definite form.
Mathematics Subject Classification ID: 32H35
Mathematics Subject Classification ID: 32A07
Mathematics Subject Classification ID: 32H02
zbMATH DE Number: 1885836
zbMATH Keywords: proper holomorphic self-mapping
zbMATH Keywords: automorphism
reviewed by: P. Z. Agranovich
MaRDI profile type: Publication
full work available at URL: s101140200156
OpenAlex ID: W2075423388
cites work: Q4172303
cites work: Q3855454
cites work: Proper self maps of weakly pseudoconvex domains
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cites work: Q4289123
cites work: Proper holomorphic mappings between bounded complete Reinhardt domains in \(C^ 2\)
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cites work: On the Proper Holomorphic Equivalence for a Class of Pseudoconvex Domains
Wikidata QID: Q126269938
DOI: 10.1007/S101140200156
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published in: Acta Mathematica Sinica, English Series
description: scientific article; zbMATH DE number 1885836