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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 |
LIU Ai-chao,CHEN Ying,LIU Hao
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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 |