本文關(guān)鍵詞： 螺形映照 星形映照 Roper-Suffridge算子　出處：《中北大學(xué)學(xué)報(自然科學(xué)版)》2017年03期 　論文類型：期刊論文

【摘要】：討論了推廣的Roper-Suffridge算子保持雙全純映照子族的性質(zhì),從全純函數(shù)的最大模原理及定義出發(fā)證明了推廣的Roper-Suffridge算子在有界完全Reinhardt域Ω_(n,p2,…,pn)上保持S_Ω~*(β,A,B)及強α次殆β型螺形映照的性質(zhì),進而得到推廣的Roper-Suffridge算子在相應(yīng)的域上分別保持S_Ω~*(A,B)、α次星形性、α次強星形性以及強α次殆星形性、強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 偽 -degree almost 尾 type snail mappings on bounded complete Reinhardt domain 惟 _ 惟 ~ n ~ (2, 鈥，

本文編號：1510363