微分算子作用下平面调和映照的单叶半径和Bloch常数估计  

Estimates on the Univalent Radius and Bloch Constant for Planar Harmonic Mappings Under Differential Operator

作　　者：黄心中[1] 傅冬绵 

机构地区：[1]华侨大学数学科学学院,福建泉州362021 [2]华桥大学工商管理学院,福建泉州362021

出　　处：《数学年刊（A辑）》2013年第6期653-662,共10页Chinese Annals of Mathematics

基　　金：国家青年自然科学基金(No.11101165);福建省自然科学基金(No.2011J0101)的资助

摘　　要：利用单位圆D={z||z+|<1}上单叶调和映照的稳定性特征,研究平面调和映照f=h+g在微分算子L=z(?)/((?)z)-z(?)/((?)z)作用下调和映照的单叶半径和Bloch常数估计,得到一些精确性结论,并改进了近期由刘名生和刘志文所得的相应结果.Using the stable properties of univalent harmonic mappings in the unit disk D = {z ｜｜z｜ 〈 1}, the authors estimate the univalent radius and Bloch constant for pla- nar harmonic mappings under differential operator L = . Several sharp results are obtained, and some results recently obtained by Mingsheng Liu and Zhiwen Liu are improved.

关 键 词：调和映照 稳定性 微分算子 单叶半径 BLOCH常数 

分 类 号：O174.51[理学—数学]