| 一类特殊域之间的逆紧全纯自映射 |
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| 引用本文： | 刘洋,韩静,宋薇.一类特殊域之间的逆紧全纯自映射[J].同济大学学报(自然科学版),2007,35(1):112-115. |
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| 作者姓名： | 刘洋 韩静 宋薇 |
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| 作者单位： | 同济大学,应用数学系,上海,200092 |
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| 摘 要： | 证明了由极小球构成的Hartogs三角形的逆紧全纯自映射的刚性定理．主要利用了逆紧全纯自映射将边界映到边界的性质和极小球的自同构映射，找到了Hartogs三角形的逆紧全纯自映射的具体表达式，从而证明了Hartogs三角形的逆紧全纯自映射都是Hartogs三角形的自同构映射．
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| 关 键 词： | 全纯逆紧映射 极小球 刚性 |
| 文章编号： | 0253-374X（2007）01-0112-04 |
| 修稿时间： | 2005-05-19 |
Proper Holomorphic Self-maps Between a Kind of Special Domains |
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| LIU Yang,HAN Jing,SONG Wei.Proper Holomorphic Self-maps Between a Kind of Special Domains[J].Journal of Tongji University(Natural Science),2007,35(1):112-115. |
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| Authors: | LIU Yang HAN Jing SONG Wei |
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| Institution: | Department of Applied Mathematics, Tongji University, Shanghai 200092, China |
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| Abstract: | This paper introduces the rigidity of the proper holomorphic self-maps between the hartogs triangles structured by the minimal ball.The properties of proper holomorphic self-maps' that they maps the boundary to the boundary are used in combination with automorphic maps of minimal ball to find the explicit expression of the proper holomorphic self-maps of the hartogs triangle.It is proved that the proper holomorphic self-maps between the hartogs triangles are automorphic maps between the hartogs triangles. |
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| Keywords: | proper holomophic maps minimal ball rigidity |
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