| 可延拓成N类函数的极值问题 |
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| 引用本文： | 龙波涌,黄心中. 可延拓成N类函数的极值问题[J]. 华侨大学学报(自然科学版), 2004, 25(4): 343-348 |
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| 作者姓名： | 龙波涌 黄心中 |
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| 作者单位： | 华侨大学数学系,福建,泉州,362021;华侨大学数学系,福建,泉州,362021 |
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| 摘 要： | 对N类函数的性质进行进一步的研究，得到一些可延托成N类函数的判别条件．结果指出，Reich在相应文献中所提出的充分条件并非必要的．利用给出的一些延拓的方法，找到某些可延拓成类函数的函数类，其再次延拓后的模是减少的．
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| 关 键 词： | N类函数 模 延拓 极值拟共形映照 |
| 文章编号： | 1000-5013(2004)04-0343-06 |
Extremal Problems for Some Functions to be Extended into Class N |
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| Long Boyong,Huang Xinzhong. Extremal Problems for Some Functions to be Extended into Class N[J]. Journal of Huaqiao University(Natural Science), 2004, 25(4): 343-348 |
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| Authors: | Long Boyong Huang Xinzhong |
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| Abstract: | By further studying the property of the functions of class N, the authors obtain some conditions for discrimi-nating the functions which can be extended inward into class N. As shown by the results, the sufficient condition given by Reich in corresponding literature is unnecessary. By using some methods of extension given in this paper, the authors have found certain class of functions which can be extended into function of class N; and the essential norms of which are reduced after extending once again. |
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| Keywords: | function of class N norm extension extremal quasiconformal mapping |
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