Reinhardt域上的双全纯映照与Roper-Suffridge算子

发布时间：2018-02-14 09:15

  本文关键词： 螺形映照 星形映照 Roper-Suffridge算子　出处：《中北大学学报(自然科学版)》2017年03期 　论文类型：期刊论文

【摘要】：讨论了推广的Roper-Suffridge算子保持双全纯映照子族的性质,从全纯函数的最大模原理及定义出发证明了推广的Roper-Suffridge算子在有界完全Reinhardt域Ω_(n,p2,…,pn)上保持S_Ω~*(β,A,B)及强α次殆β型螺形映照的性质,进而得到推广的Roper-Suffridge算子在相应的域上分别保持S_Ω~*(A,B)、α次星形性、α次强星形性以及强α次殆星形性、强β型螺形性.
[Abstract]:In this paper, we discuss the properties of the extended Roper-Suffridge operators preserving the subfamilies of biholomorphic mappings. Based on the maximum modulus principle and definition of Holomorphic functions, we prove that the generalized Roper-Suffridge operators preserve the properties of S _ 惟 (尾 -A _ (B)) and strongly 伪 -degree almost 尾 type snail mappings on bounded complete Reinhardt domain 惟 _ 惟 ~ n ~ (2, 鈥，

本文编号：1510363