全纯逆紧映射的全纯延拓性和广义Hartogs三角形上的全纯逆紧映射

数学物理学报

全纯逆紧映射的全纯延拓性和广义Hartogs三角形上的全纯逆紧映射

韩静; 陈志华

同济大学应用数学系上海 200092

收稿日期:2004-08-30 修回日期:2005-11-08 出版日期:2007-04-25 发布日期:2007-04-25
通讯作者: 韩静
基金资助:
国家自然科学基金(10571135、10511140543)和同济大学理科基金(1390219060)资助

Holomorphically Extendability of Proper Holomorphic Maps and Proper Holomorphic Map of Generalized Hartogs Triangle

Han Jing; Chen Zhihua

Department of Applied Mathematics, Tongji University, Shanghai 200092

Received:2004-08-30 Revised:2005-11-08 Online:2007-04-25 Published:2007-04-25
Contact: Han Jing

摘要/Abstract

摘要： 对满足一定条件的非光滑有界域上的全纯逆紧映射证得了局部全纯延拓定理. 同时也研究了广义Hartogs三角形之间的全纯逆紧映射.

关键词: 全纯逆紧映射, 全纯延拓, 广义Hartogs三角形

Abstract: The purpose of this paper is to prove a theorem about the local holomorphically extendability of the proper holomorphic maps between non-smooth bounded domains under some condition. At the same time the proper holomorphic maps between generalized Hartogs triangle are also discussed.

Key words: Proper Holomorphic Map, Holomorphically Extendability, Generalized Hartogs Triangle

中图分类号:

32H02

韩静; 陈志华. 全纯逆紧映射的全纯延拓性和广义Hartogs三角形上的全纯逆紧映射[J]. 数学物理学报, 2007, 27(2): 221-228.

Han Jing; Chen Zhihua. Holomorphically Extendability of Proper Holomorphic Maps and Proper Holomorphic Map of Generalized Hartogs Triangle[J]. Acta mathematica scientia,Series A, 2007, 27(2): 221-228.

[1]	邹娟. 复Banach空间中的Roper-Suffridge算子[J]. 数学物理学报, 2010, 30(6): 1582-1591.
[2]	严荣沐. CLASSIFICATION OF A CLASS OF HYPERBOLIC REINHARDT DOMAINS[J]. 数学物理学报, 2006, 26(6): 1083-.
[3]	朱玉灿. B_p上α凸映照[J]. 数学物理学报, 2005, 25(1): 84-92.
[4]	周泽华. 双全纯映射和对称典型域[J]. 数学物理学报, 2000, 20(zk): 597-601.