摘要
In this paper, we obtain a distortion theorem of Jacobian matrix for biholomorphic subclasses of starlike mappings along a unit direction on the unit polydisc. These results extend the classical distortion theorem of starlike mappings to higher dimensions. We then give an upper bound estimate for biholomorphic subclasses of starlike mappings along a unit direction in a complex Banach space.
In this paper, we obtain a distortion theorem of Jacobian matrix for biholomorphic subclasses of starlike mappings along a unit direction on the unit polydisc. These results extend the classical distortion theorem of starlike mappings to higher dimensions. We then give an upper bound estimate for biholomorphic subclasses of starlike mappings along a unit direction in a complex Banach space.
基金
supported by NSF of Zhejiang Province(D7080080, Y6090036, Y6090694, Y6100219)
the National Natural Science Foundation of China (10971063,11001246, 11031008, 11101139)
作者简介
卢金,E-mail:lujin@mail.ustc.edu.cn;刘太顺,E-mail:lts@ustc.edu.cn;王建飞,E-mail:wangjf@mail.ustc.edu.cn.
