可延拓成N类函数的极值问题  

Extremal Problems for Some Functions to be Extended into Class N

作　　者：龙波涌[1] 黄心中[1] 

机构地区：[1]华侨大学数学系,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2004年第4期343-348,共6页Journal of Huaqiao University(Natural Science)

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 。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.

关 键 词：N类函数 模 延拓 极值拟共形映照 

分 类 号：O175.55[理学—数学]