单位圆内有限级拟亚纯映射在Borel半径上的充满圆

THE FILLING DISCS ON BOREL RADIUS OF QUASIMEROMORPHIC MAPPING WITH FINITE ORDER IN UNIT DISC

应用覆盖曲面的几何方法,对于单位圆内有限正级的K-拟亚纯映射在其Borel半径上的性质进行了研究,用比较简单的方法证明了单位圆内有限正级K-拟亚纯映射在其Borel半径上一定存在充满圆序列,推广了Rauch A的结果.

By using Ahlfors＇s covering surface method, some existing properties on Borel directions of meromorphic functions with finite order in the open plane are generalized. The existence of filling discs on Borel radius of K-Quasimeromorphic mapping with finite positive order in unit disc is proved, which extends the results of A. Rauch.