论文标题
多谐映射的注释
A note on polyharmonic mappings
论文作者
论文摘要
在本文中，我们证明了radó类型的结果，表明单位磁盘在整个复杂平面上没有单相映射。我们还建立了谐波映射和双式映射的边界函数之间的联系。最后，我们展示了如何通过凸声谐波映射构建近距离的Biharmonic映射。
In this paper we prove a Radó type result showing that there is no univalent polyharmonic mapping of the unit disk onto the whole complex plane. We also establish a connection between the boundary functions of harmonic and biharmonic mappings. Finally, we show how a close-to-convex biharmonic mapping can be constructed from a convex harmonic mapping.
