| 一阶连续模形式下的Kellogg定理 |
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| 引用本文： | 葛斌华.一阶连续模形式下的Kellogg定理[J].解放军理工大学学报,2001,2(3):94-95. |
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| 作者姓名： | 葛斌华 |
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| 作者单位： | 中央财经大学 北京100081 |
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| 摘 要： | 从单位圆到以光滑Jordan曲线为边界的单连区域的共形映射，其边界的光滑性有经典的Kellogg定理及其推广的Warschawski定理，以连续模为工具对原结果进行了深入的讨论，得到了更为一般的.结果。
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| 关 键 词： | 连续模 Kellogg定理 Cauchy型积分 共形映射 Riemann映射定理 光滑性 |
| 文章编号： | 1009-3443（2001）03-0094-02 |
| 修稿时间： | 2001年3月5日 |
Kellogg Theorem in Form of 1-order Module of Continuity |
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| GE Bin-hua.Kellogg Theorem in Form of 1-order Module of Continuity[J].Journal of PLA University of Science and Technology(Natural Science Edition),2001,2(3):94-95. |
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| Authors: | GE Bin-hua |
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| Institution: | Central University of Finance and Economics, Beijing 100081, China |
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| Abstract: | By using the tools of the module of continuity, this paper discusses the conformal mapping from a unit circle onto a simply connected region enclosed by a smooth Jordan curve, the smooth properties of its border are illustrated by the Kellogg's theorem and its extended Warschawski's theorem. This paper concentrates on making deeper discussions on the original results of these theorems and obtains more general results. |
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| Keywords: | the module of cintinuity the Kellogg's theorem Cauchy integration |
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