拟共形映射涉及重值的最大型Borel方向

On the Borel Directions of Quasimeromorphic Mappings Dealing with Multiple Values

研究了K-拟共形映射涉及重值时的值分布理论,运用Ahlfors覆盖区面理论,证明了有限正级K-拟共形映射涉及重值的最大型Borel方向的存在性,并导出了K-拟共形映射涉及重值的最大型Borel方向的一个充分条件。

By studying the value distribution theory of quasimeromorphic mappings dealing with multiple values,the existence of quasimeromorphic mappings dealing with multiple values with finite positive order is proved with Ahlfors＇ covering surface theory,and one sufficiency of the Borel directions is given.