| 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,2011,32(6):693~698 |
| 关于典型域到单位球上全纯映射的注记 |
| A Note on Holomorphic Mappings from the Classical Domains into the Unit Ball |
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| DOI： |
| 中文关键词: 全纯映射 典型域 单位球 |
| 英文关键词:Holomorphic mapping Classical domains Unit ball |
| 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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| 中文摘要: |
| 给出了从典型域到单位球的全纯映射高阶Fr\'echet导数的~Schwarz-Pick~估计,
从而推广了单位球上全纯自映射Fr\'echet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. |
| 英文摘要: |
| 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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