平面内零级拟共形亚纯映射的最大Borel点及其充满圆

The Largest Borel Point and the Fill-up Discs of Zero-Order Quasiconformal Meromorphic Mapping in the Plane

根据K-拟亚纯映射的定义,对其概念认真分析和探讨,并对平面上的K-拟亚纯映射进行了进一步的研究,证明了平面上的零级K-拟亚纯映射最大型Borel方向的存在性,并由平面上的零级K-拟亚纯映射最大型Borel方向构造了一列充满圆。

According to the definition of K - quasimeromorphic mapping, this paper makes a serious exploration and analysis of its concept, and has a deep study of K - quasimeromorphie mapping on the plane, which proves the existence of the largest - type Borel direction of zero - order K - quasimeromorphic mappings in the plane, thus a list of fill- up discs have been constructed.