| 摘要: |
| 本文研究了复向量空间Cn中开单位球Bn,复Banach空间中单位球B和域Ωp1,…,pn上一类α次殆β型螺形映照的偏差估计问题.利用不等式、矩阵及α次殆β型螺形映照的增长定理等方法,获得了上述域上的一类α次殆β型螺形映照的偏差上界估计,所得结果推广了一些已知的结论. |
| 关键词: α次殆β型螺形映照 增长定理 偏差上界 |
| DOI： |
| 分类号:O174.56 |
| 基金项目:国家自然科学基金资助项目(11271359);河南省计划项目(112300410251);河南省教育厅科学技术重点研究项目(14B110015). |
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| THE DISTORTION UPPER BOUND FOR SOME CLASS OFALMOST SPIRALLIKE MAPPINGS OF TYPE β AND ORDER α |
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LIU Ai-chao1, CHEN Ying1, LIU Hao2
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1.Department of Mathematics, Huanghuai University, Zhumadian 463000, China;2.College of Mathematics and Information Science, Henan University, Kaifeng 475004, China
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| Abstract: |
| This paper studies the distortion estimation of almost spirallike mapping of type β and order α on unit ball Bn in complex vector space Cn, unit ball B on complex Banach space and Reinhard domain Ωp1,…,pn. By using the methods of inequalities, matrices and the growth and cover theorem of almost spirallike mapping of type β and order α, we obtain the distortion upper bound on the above domains, which generalizes some known conclusions. |
| Key words: almost spirallike mappings of type fl order fi growth theorem distortion upper bound |
