| 关于拟圆上双曲有界全纯函数的积分表示 |
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| 引用本文： | 翟国强.关于拟圆上双曲有界全纯函数的积分表示[J].苏州大学学报(医学版),2009,25(2):12-14. |
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| 作者姓名： | 翟国强 |
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| 作者单位： | 苏州大学,数学科学学院,江苏,苏州,215006
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| 摘 要： | Bers曾给出了一个边界经过无穷远点的拟图上双曲有界全纯函数的积分表示．本文去掉了边界经过无穷远点的限制，利用共形自然反射给出了一般拟圆上双曲有界全纯函数的积分表示．
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| 关 键 词： | 全纯函数 拟共形反射 自然共形反射 |
On integral representation for hyperbolically bounded holomorphic functions on quasidisks |
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| Zhai Guoqiang.On integral representation for hyperbolically bounded holomorphic functions on quasidisks[J].Journal of Suzhou University(Natural Science),2009,25(2):12-14. |
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| Authors: | Zhai Guoqiang |
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| Institution: | School of Mathematic Science;Suzhou Univ.;Suzhou 215006;China |
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| Abstract: | Bers gave an integral representation for hyperbolically bounded holomorphic functions on a quasidisk whose boundary passes through the point at infinity.In this paper,we generalize this result to any quasidisk by means of the conformal natural reflection. |
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| Keywords: | holomorphic function quasiconformal reflection conformally natural reflection |
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