| 多复变数某些双全纯映射子族精确的系数估计 |
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| 引用本文： | 刘小松.多复变数某些双全纯映射子族精确的系数估计[J].数学年刊A辑(中文版),2021,42(1):23-32. |
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| 作者姓名： | 刘小松 |
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| 作者单位： | 岭南师范学院数学与统计学院, 广东 湛江 524048. |
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| 基金项目： | 国家自然科学基金 (No.\,11871257) |
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| 摘 要： | 作者建立了复Banach空间单位球上和Cn中单位多圆柱上限制条件下双全纯映射齐次展开式的精确估计和 Fekete-Szeg?不等式,同时给出 Cn中 DP1,P2,…,Pn ={z ∈ Cn:n∑l=1|zl|Pl＜1}(pl＞1,l = 1,2,…,n)上限制条件下双全纯映射主要系数的精确估计和Fekete-Szeg...
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| 关 键 词： | 双全纯映射 齐次展开式 主要系数估计 Fekete-Szeg?不等式 |
| 收稿时间： | 2020/3/17 0:00:00 |
| 修稿时间： | 2020/11/20 0:00:00 |
The Sharp Coefficient Estimates for Some Subclasses of Biholomorphic Mappings in Several Complex Variables |
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| LIU Xiaosong.The Sharp Coefficient Estimates for Some Subclasses of Biholomorphic Mappings in Several Complex Variables[J].Chinese Annals of Mathematics,2021,42(1):23-32. |
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| Authors: | LIU Xiaosong |
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| Institution: | School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 524048, Guangdong, China. |
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| Abstract: | In this paper,the sharp estimates of all homogeneous expansions and the FeketeSzego inequality for biholomorphic mappings defined on the unit ball of complex Banach spaces and the unit polydisk in Cnare established with some restricted condition.Meanwhile,the sharp main coefficient estimates and the Fekete-Szeg?inequality for biholomorphic mappings on Dp1,p2,…,pn={z∈Cn:∑nl=1|zl|pl<1}(pl>1,l=1,2,…,n)in Cnare given under certain additional assumption.The results generalize the corresponding classical results in one dimension of complex function theory. |
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| Keywords: | Biholomorphic mapping Homogeneous expansion Main coefficient estimate Fekete-Szeg? inequality |
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