一类有界对称域上的Hartogs型域的自同构群  

AUTOMORPHISMS OF SOME HARTOGS-TYPE DOMAINS OVER BOUNDED SYMMETRIC DOMAINS

作　　者：金帅[1] 

机构地区：[1]武汉大学数学与统计学院,湖北武汉430072

出　　处：《数学杂志》2015年第5期1201-1208,共8页Journal of Mathematics

摘　　要：本文研究了稍微广泛的一类Hartogs型域的自同构群.利用华域的自同构群,获得了一类有界对称域上的Hartogs型域的自同构群的具体形式,推广了有界对称域上的Hartogs型域的自同构群这一结果.In this paper we study the problem of the general automorphism group of some Hartogs type domains over bounded symmetric domains. With the methods of Tu and Wang who completely describe the automorphism group of the Hua domains, we obtain the explicit form of the automorphism group of some Hartogs type domains over bounded symmetric domains and popularize the automorphism group of Hartogs type domains over bounded symmetric domains.

关 键 词：全纯自同构群 对称域 Hartogs域 

分 类 号：O174.56[理学—数学]