On a subclass of quasi-convex mappings |
| |
| Authors: | Qing-Hua Xu Tai-Shun Liu |
| |
| Affiliation: | 1. College of Mathematics and Information Science, JiangXi Normal University, NanChang 330022, China;2. Department of Mathematics, Huzhou Teacher''s College, Huzhou 313000, China |
| |
| Abstract: | A class of biholomorphic mappings named “quasi-convex mappings of type D” is introduced in the unit ball of a complex Banach space, which is the natural generalization of the convex functions in one variable. It is proved that this class of mappings is a subset of the class of “quasi-convex mappings of type A” introduced by K.A. Roper and T.J. Suffridge. |
| |
| Keywords: | Biholomorphic mapping Locally biholomorphic mapping Quasi-convex mappings Convex mappings Growth theorem |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
