scholarly journals A Note on the Holomorphic Automorphism Group of a Product Bm×Bn of the Unit Balls

2017 ◽  
Vol 07 (02) ◽  
pp. 72-77
Author(s):  
欢 付
Keyword(s):  
Automorphism Group ◽  
Holomorphic Automorphism ◽  
Holomorphic Automorphism Group

Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains

2006 ◽  
Vol 49 (10) ◽  
pp. 1392-1404 ◽  
Author(s):  
Yichao Xu ◽  
Minru Chen ◽  
Songya Ma
Keyword(s):  
Automorphism Group ◽  
Explicit Formula ◽  
Bounded Domains ◽  
Holomorphic Automorphism ◽  
Holomorphic Automorphism Group

The holomorphic automorphism group of higher dimension thullen domain

2016 ◽  
Vol 36 (5) ◽  
pp. 1358-1368 ◽  
Author(s):  
Hongjun LI ◽  
Chunhui QIU
Keyword(s):  
Automorphism Group ◽  
Holomorphic Automorphism ◽  
Higher Dimension ◽  
Holomorphic Automorphism Group

The holomorphic automorphism group of the complex disk

1994 ◽  
Vol 47 (2-3) ◽  
pp. 240-254 ◽  
Author(s):  
Abraham A. Ungar
Keyword(s):  
Automorphism Group ◽  
Holomorphic Automorphism ◽  
Holomorphic Automorphism Group

scholarly journals The holomorphic automorphism group of the domains of the Bergman-Hartogs type

2015 ◽  
Vol 45 (1) ◽  
pp. 31-42 ◽  
Author(s):  
LiShuang PAN ◽  
An WANG
Keyword(s):  
Automorphism Group ◽  
Holomorphic Automorphism ◽  
Holomorphic Automorphism Group

On the holomorphic automorphism group of the Bergman–Hartogs domain

2015 ◽  
Vol 26 (08) ◽  
pp. 1550056 ◽  
Author(s):  
Jie Zhao ◽  
An Wang ◽  
Yihong Hao
Keyword(s):  
Automorphism Group ◽  
Large Class ◽  
Pseudoconvex Domains ◽  
Holomorphic Automorphism ◽  
Homogeneous Domain ◽  
Hartogs Domain ◽  
Holomorphic Automorphism Group

The Bergman–Hartogs domain which can be regarded as a generalization of the Cartan–Hartogs domain provides a large class of bounded pseudoconvex domains which are in general nonhomogeneous. Since the geometry of a domain is determined by its automorphism group to a certain extent, it is meaningful to study the structure of the automorphism group. In this paper, we completely determine the structure of the holomorphic automorphism group of the Bergman–Hartogs domain over a minimal homogeneous domain with center at the origin.

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