| 调和函数在多重L算子作用下的单叶半径估计 |
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| 引用本文： | 王其文,黄心中.调和函数在多重L算子作用下的单叶半径估计[J].漳州师院学报,2013(1):9-18. |
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| 作者姓名： | 王其文 黄心中 |
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| 作者单位： | 华侨大学数学科学学院,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（2011J0101） |
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| 摘 要： | 若f（z）为定义在单位圆盘D={z｜｜z｜〈1}上的调和函数，L=zd/di-d/ 为微分算子．本文研究在调和函数f（z）的系数模满足两个著名猜想及某些系数模界限条件下，多重L算子作用于f（z）下的单叶半径估计问题，分别得到相应的精确单叶半径表达式．
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| 关 键 词： | 调和函数 微分算子 单叶半径 系数界限 |
Estimates on the Univalent Radius for Harmonic Mappings under Multiple Differential Operators |
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| WANG Qi-wen,HUANG Xin-zhong.Estimates on the Univalent Radius for Harmonic Mappings under Multiple Differential Operators[J].Journal of ZhangZhou Teachers College(Philosophy & Social Sciences),2013(1):9-18. |
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| Authors: | WANG Qi-wen HUANG Xin-zhong |
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| Institution: | (School of Mathematical sciences, Huaqiao University, Quanzhou, Fujian 362021, China) |
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| Abstract: | Suppose that f（z） is a harmonic mapping on the unit disk D={z｜｜z｜〈1}. Let L represents the differential operator L=zd/di-d/ . In this note, we obtain several sharp estimates on univalent radii for the harmonic mappings that are obtained by multiple differential operators L acting on the given harmonic mapping f（z） with its coefficients satisfying two famous conjecture bounds and some general expression bound. |
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| Keywords: | harmonic mapping differential operator univalent radius coefficient bound |
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