沿单位方向上的强α型螺形映射的偏差估计  

The Distortion Estimation for Strongly Spirallike Mappings of Type α Along Unit Direction

作　　者：刘爱超[1] 崔艳艳[2] 刘浩[3] Liu Aichao Cui Yanyan Liu Hao(College of Mathematics and Statistics, Huanghuai University, Henan Zhumadian 463000 College of Mathematics and Statistics, Zhoukou Normal University, Henan Zhoukou 466001 College of Mathematics and Statistics, Henan University, Henan Kaifeng 475001)

机构地区：[1]黄淮学院数学与统计学院,河南驻马店463000 [2]周口师范学院数学与统计学院,河南周口466001 [3]河南大学数学与统计学院,河南开封475001

出　　处：《数学物理学报（A辑）》2017年第2期239-247,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(11271359);河南省教育厅科学技术研究重点项目(14B110015;14B110016)~~

摘　　要：各种双全纯映射的偏差估计一直是多复变函数论研究的热点之一.自强α型螺形映射的定义被提出以来,研究人员仅获得了增长与掩盖结果,但对其偏差结果却知之甚少.针对这一情况,利用强α型螺形映射的增长结果,首次获得了复Banach空间中开单位球B及欧式空间中单位多圆柱D^n单位方向上的强α型螺形映射的偏差估计.研究结果使人们对强α型螺形映射的性质有了新的认识.Various biholomorphic mappings＇distortion estimation have been one of the hot issues studied for the theory of several complex variables. Since the definition of strongly spirallike mappings of type α was presented, the researchers only got growth and covering results, but its distortion estimation have been poorly understood. In response to this situation, we use growth and covering theorem of strongly spirallike mappings of type a, for the first time we obtained the distortion estimation of strongly spirallike mappings of type α in the open unit ball Bof α complex Banach spaces and unit polydisc IDn of the European space along unit direction. The results made us have a new understanding for strongly spirallike mappings of type α.

关 键 词：强α型螺形映射 增长与掩盖定理 单位方向 偏差估计 

分 类 号：O174.56[理学—数学]