| 双全纯映射的从属原理及其应用 |
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| 引用本文： | 邵俊霞,胡春英,王建飞.双全纯映射的从属原理及其应用[J].华侨大学学报(自然科学版),2023,0(3):417-420. |
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| 作者姓名： | 邵俊霞 胡春英 王建飞 |
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| 作者单位： | 华侨大学 数学科学学院, 福建 泉州 362021 |
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| 基金项目： | 国家自然科学基金资助项目（12071161,11971165,11971182）；;福建省自然科学基金资助项目（2020J01073,2019J01066）；;福建省自然科学基金青年创新项目（2020J05157）； |
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| 摘 要： | 采用双曲度量的方法，给出多复变双全纯映射的从属原理.建立复平面上单连通区域D上的Roper-Suffridge算子，Roper-Suffridge算子保持β型螺形映射.结果表明：当D=Δ为单位圆盘时，主要结果推广了先前已知的结果.
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| 关 键 词： | 多复变 双全纯映射 螺形映射 从属原理 Roper-Suffridge算子 |
Subordination Principle and Its Application of Biholomorphic Mappings |
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| SHAO Junxia,HU Chunying,WANG Jianfei.Subordination Principle and Its Application of Biholomorphic Mappings[J].Journal of Huaqiao University(Natural Science),2023,0(3):417-420. |
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| Authors: | SHAO Junxia HU Chunying WANG Jianfei |
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| Institution: | School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China |
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| Abstract: | Using hyperbolic metric method, we give the subordination principle of biholomorphic mappings in several complex variables, and establish Roper-Suffridge operators on simply connected domains D on complex planes, Roper-Suffridge operators preserve spirallike mappings of type β. The results show that when D=Δ is the unit disk, the main results generalize the previously known results. |
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| Keywords: | several complex variables biholomorphic mapping spirallike mapping subordination principle Roper-Suffridge operator |
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