| 平面复值调和映照研究的一些新进展 |
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| 引用本文： | 黄心中,傅冬绵.平面复值调和映照研究的一些新进展[J].漳州师院学报,2011(4):1-10. |
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| 作者姓名： | 黄心中 傅冬绵 |
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| 作者单位： | [1]华侨大学数学科学学院,福建泉州362021 [2]华侨大学工商管理学院,福建泉州362021 |
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| 基金项目： | 福建省自然科学基金资助项目（2011J01011） |
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| 摘 要： | 介绍近年来平面复值调和映照的一些研究成果．围绕刻画有界调和映照的特征，单叶复值调和映照为调和拟共形映照的充要条件，调和拟共形映照的性质的一些处理方法，论述和总结了该领域最近一些重要问题的解决方法。进展情况，以及遗留未决的问题．
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| 关 键 词： | 调和映照 调和拟共形映照 衰退性质 单叶圆 子群 线性连结 |
Some New Developments for Complex-valued Harmonic Mappings |
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| HUANG Xin-zhong,FU Dong-mian.Some New Developments for Complex-valued Harmonic Mappings[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2011(4):1-10. |
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| Authors: | HUANG Xin-zhong FU Dong-mian |
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| Institution: | 1. School of Mathematical Sciences, Huaqiao Univ., Quanzhou Fujian 362021 China; 2. College of Business Administration, Huaqiao Univ.,Quanzhou Fujian 362021 China) |
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| Abstract: | Some new theorems on complex-valued harmonic mappings in the plane are introduced. Close attentions are made on the methods for characterizing the properties of bounded harmonic mappings, the necessary and sufficient conditions for univalent harmonic mappings to be harmonic quasiconforaml mappings, the analytic methods in the mapping images and their relative results. A few open problems are also raised. |
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| Keywords: | harmonic mappings harmonic quasiconformal mappings collapsing property univalent disk subgroup linear connected |
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