双全纯映射的从属原理及其应用  

Subordination Principle and Its Application of Biholomorphic Mappings

作　　者：邵俊霞 胡春英[1] 王建飞 SHAO Junxia;HU Chunying;WANG Jianfei(School of Mathematical Sciences,Huaqiao University,Quanzhou 362021,China)

机构地区：[1]华侨大学数学科学学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2023年第3期417-420,共4页Journal of Huaqiao University(Natural Science)

基　　金：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)。

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.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 typeβ.The results show that when D=Δis the unit disk,the main results generalize the previously known results.

关 键 词：多复变 双全纯映射 螺形映射 从属原理 ROPER-SUFFRIDGE算子 

分 类 号：O174.56[理学—数学]