一类α次殆β型螺形映射的偏差估计

The distortion estimation for a class of almost spirallike mappings of type β and order α

研究α次殆β型螺形映射的偏差问题。通过单位圆盘上的α次殆β型螺形函数构造出一般复Banach空间中单位球上一类α次殆β型螺形映射;并结合该类函数的零点阶数,利用α次殆β型螺形映射的精确增长定理得出在这种构造下α次殆β型螺形映射的偏差估计。

This paper studies the distortion estimation of almost spirallike mapping of typeβ and order α. We investigate the construction of almost spirallike mappings of typeβand order α on the unit ball B of a complex Banach space X, and by using the growth theorem of almost spirallike mapping of type β and order α, we obtain the distortion estimation for the class of mappings.