Automorphisms of normal quasi-circular domains

作者：Yamamori Atsushi^*

来源：Bulletin des Sciences Mathematiques, 2014, 138(3): 406-415.

DOI：10.1016/j.bulsci.2013.10.002

• Bergman kernel
• Minimal domain
• Representative domain
• Quasi-circular domain
• Bergman mapping
• Automorphism group

It was shown by Kaup that every origin-preserving automorphism of quasi-circular domains is a polynomial mapping. In this paper, we study how the weight of quasi-circular domains and the degree of such automorphisms are related. By using the Bergman mapping, we prove that every origin-preserving automorphism of normal quasi-circular domains in C-2 is linear.

• 出版日期2014-5