论文标题
谐波映射的两点失真定理
Two-point distortion theorems for harmonic mappings
论文作者
论文摘要
我们建立了具有有意义的平面谐波映射的两点失真定理$ f = h+\ overline {g} $，该{g} $满足了单元光盘中的单位标准，使得贝克尔和尼哈里的和谐版本。此外，当$ h $是凸功能时，我们发现急剧的两点失真定理，并且对归一化映射，因此$ h（\ d）$是$ c $ - 线性连接的域。为此，我们使用这个家庭的顺序。
We establish two-point distortion theorems for sense-preserving planar harmonic mappings $f=h+\overline{g}$ which satisfies the univalence criteria in the unit disc such that, Becker's and Nehari`s harmonic version. In addition, we find the sharp two-point distortion theorem when $h$ is a convex function, and normalized mappings such that $h(\D)$ is a $c$-linearly connected domain. To do this, we use the order of this family.
