| 关于典型域到单位球上全纯映射的注记 |
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| 引用本文： | 吴波,韩静.关于典型域到单位球上全纯映射的注记[J].数学年刊A辑(中文版),2011,32(6):693-698. |
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| 作者姓名： | 吴波 韩静 |
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| 作者单位： | 浙江师范大学数学系;浙江师范大学教务处;同济大学数学系; |
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| 基金项目： | 国家自然科学基金(No11171255,No11101373); 浙江省自然科学基金(NoY6100007)资助的项目 |
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| 摘 要： | 给出了从典型域到单位球的全纯映射高阶Frchet导数的Schwarz-Pick估计,从而推广了单位球上全纯自映射Frchet导数的Schwarz-Pick估计以及单位圆盘上有界全纯函数高阶导数的Schwarz-Pick估计的结论.
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| 关 键 词： | 全纯映射 典型域 单位球 |
A Note on Holomorphic Mappings from the Classical Domains into the Unit Ball |
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| WU Bo and HAN Jing.A Note on Holomorphic Mappings from the Classical Domains into the Unit Ball[J].Chinese Annals of Mathematics,2011,32(6):693-698. |
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| Authors: | WU Bo and HAN Jing |
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| Institution: | WU Bo~1 HAN Jing~2 1 Department of Mathematics,Zhejiang Normal University,Jinhua 321004,Zhejiang,China,Academic Affairs Division,China. 2 Department of Mathematics,Tongji University,Shanghai 200092,China. |
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| Abstract: | Schwarz-Pick estimates of high order Fr\'echet derivatives for
holomorphic mappings of the classical domains to the unit ball are
presented. Thus, the early work on Schwarz-Pick estimates
of higher order Fr\'echet derivatives for holomorphic
mappings on the unit ball and bounded holomorphic functions on the unit disk is generalized. |
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| Keywords: | Holomorphic mapping Classical domains Unit ball |
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