ESTIMATE ON THE BLOCH CONSTANT FOR CERTAIN HARMONIC MAPPINGS UNDER A DIFFERENTIAL OPERATOR  

作　　者：陈洁玲 刘名生 Jieling CHEN;Mingsheng LIU(School of Mathematical Sciences,South China Normal University,Guangzhou,510631,China)

机构地区：[1]School of Mathematical Sciences,South China Normal University,Guangzhou,510631,China

出　　处：《Acta Mathematica Scientia》2024年第1期295-310,共16页数学物理学报（B辑英文版）

基　　金：supported by the Natural Science Foundation of Guangdong Province(2021A1515010058)。

摘　　要：In this paper,we first obtain the precise values of the univalent radius and the Bloch constant for harmonic mappings of the formL(f)=zfz-zfz,where f represents normalized harmonic mappings with bounded dilation.Then,using these results,we present better estimations for the Bloch constants of certain harmonic mappings L(f),where f is a K-quasiregular harmonic or open harmonic.Finally,we establish three versions of BlochLandau type theorem for biharmonic mappings of the form L(f).These results are sharp in some given cases and improve the related results of earlier authors.

关 键 词：Bloch-Landau type theorem Bloch constant linear complex operator harmonic mapping biharmonic mapping UNIVALENT 

分 类 号：O175[理学—数学]