调和函数的对数导数与共形因子的估计

摘要

In this paper,we introduce a definition of the pre-Schwarzian and Schwarzain derivatives of locally univalent harmonic mapping on a simple connected domain in complex plane. Using func-tions Hμ0 ,we give some estimates of pre-Schwarzian derivative and conformal factor.%给出了复平面上单连通区域内任意局部单叶调和函数的对数导数和Schwarz导数定义。利用Schwarz导数范数的函数族Hμ0,得到了相应的对数导数与共形因子的估计。