| 一种基于复变函数求证BLOCH函数问题的方法 |
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| 引用本文： | 唐林勇.一种基于复变函数求证BLOCH函数问题的方法[J].西南民族学院学报(自然科学版),2001,27(3):272-278. |
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| 作者姓名： | 唐林勇 |
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| 作者单位： | 唐林勇（宜宾师范高等专科学校,四川 宜宾 644007） |
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| 摘 要： | 探讨应用复变函数求证卜罗奇（Bloch)函数的两个重要问题。建立了Bloch问题的有关定义，论证了重要引理与定理，应用了控制收敛定理与闭图象定理，引入了投影与有界算及映射方法作了相互交叉的论证。
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| 关 键 词： | 投影算子 复变函数 交叉论证 闭图象定理 Bloch函数 控制收敛定理 Bloch空间 |
| 文章编号： | 1003-2843(2001)03-0272-07 |
| 修稿时间： | 2001年7月11日 |
A Demonstrative Method to Question of Bloch Functions on Compound Variable Functions |
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| TANG Lin-yong.A Demonstrative Method to Question of Bloch Functions on Compound Variable Functions[J].Journal of Southwest Nationalities College(Natural Science Edition),2001,27(3):272-278. |
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| Authors: | TANG Lin-yong |
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| Abstract: | This paper discusses the utilization of the compound variable functions for demonstration to two important questions of Bloch functions. It built the relevant definitions with Bloch questions. And it proved important lemmas and theorems. And it utilized controllable convergent theorem and close theorem of picture image. And it made cross proof because that introduced operators with projection and boundary, also method of shine upon. |
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| Keywords: | operator of projection compund variable function croos proof theorem of image Bloch function |
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