The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains

被引：0

作者：

Hyeseon Kim

Atsushi Yamamori

机构：

[1] Korea Institute for Advanced Study,Center for Mathematical Challenges

[2] Kogakuin University,Academic Support Center

来源：

Czechoslovak Mathematical Journal | 2018年 / 68卷

关键词：

holomorphic automorphism group; Bergman kernel; Reinhardt domain; 32M05; 32A25; 32A07;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We consider a certain class of unbounded nonhyperbolic Reinhardt domains which is called the twisted Fock-Bargmann-Hartogs domains. By showing Cartan’s linearity theorem for our unbounded nonhyperbolic domains, we give a complete description of the automorphism groups of twisted Fock-Bargmann-Hartogs domains.

引用

页码：611 / 631

页数：20

共 17 条

[1] The holomorphic automorphism groups of twisted Fock-Bargmann-Hartogs domains
Kim, Hyeseon
Yamamori, Atsushi
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2018, 68 (03) : 611 - 631
[2] Rigidity of the Holomorphic Automorphism of the Generalized Fock-Bargmann-Hartogs Domains
Ting Guo
Zhiming Feng
Enchao Bi
Czechoslovak Mathematical Journal, 2021, 71 : 373 - 386
[3] Rigidity of the Holomorphic Automorphism of the Generalized Fock-Bargmann-Hartogs Domains
Guo, Ting
Feng, Zhiming
Bi, Enchao
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2021, 71 (02) : 373 - 386
[4] Remarks on Rawnsley's ε-function on the Fock-Bargmann-Hartogs domains
Yang, Huan
Bi, Enchao
ARCHIV DER MATHEMATIK, 2019, 112 (04) : 417 - 427
[5] Boundary behavior of the Bergman kernel for generalized Fock-Bargmann-Hartogs domains
Park, Jong-Do
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2022, 509 (01)
[6] The Bergman kernel and projection on the Fock-Bargmann-Hartogs domain
Dai, Jineng
Li, Yuanyuan
COMPLEX VARIABLES AND ELLIPTIC EQUATIONS, 2022, 67 (01) : 34 - 48
[7] Holomorphic Automorphism Groups of (m,1)-Circular Domains
Shuxia Feng
Hongjun Li
Chunhui Qiu
The Journal of Geometric Analysis, 2020, 30 : 3035 - 3063
[8] Holomorphic Automorphism Groups of (m,1)-Circular Domains
Feng, Shuxia
Li, Hongjun
Qiu, Chunhui
JOURNAL OF GEOMETRIC ANALYSIS, 2020, 30 (03) : 3035 - 3063
[9] On the rigidity of proper holomorphic mappings for the Bergman-Hartogs domains
Bi, Enchao
BULLETIN DES SCIENCES MATHEMATIQUES, 2022, 175
[10] Explicit formula of holomorphic automorphism group on complex homogeneous bounded domains
Xu Yichao
Chen Minru
Ma Songya
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2006, 49 (10): : 1392 - 1404

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