Coefficient Problems of Quasi-Convex Mappings of Type B on the Unit Ball in Complex Banach Spaces

被引：1

作者：

Zhang, Ruyu ^{[1
]}

Ouyang, Dongling ^{[1
]}

Xiong, Liangpeng ^{[1
]}

机构：

[1] Jiangxi Sci & Technol Normal Univ, Sch Math & Comp Sci, Nanchang 330038, Jiangxi, Peoples R China

来源：

MATHEMATICA SLOVACA | 2023年 / 73卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Biholomorphic mappings; complex Banach space; Fekete-Szego problems; quasi-convex mappings of type B; zero of order k+1; SZEGO PROBLEM; FEKETE; SUBCLASSES;

D O I：

10.1515/ms-2023-0089

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the sharp solutions of Fekete-Szego problems are provided for class of quasi-convex mappings f(1) of type B and class of quasi-convex mappings f(2) of type B and order alpha defined on the unit ball in a complex Banach space, respectively, where x = 0 is a zero of order k + 1 of f(i)(x) - x (i = 1, 2). Compare with some recent works, our main theorems hold without additional restrictive conditions. Also, the proof of our main theorems are more simple than those given in the previous results.

引用

页码：1207 / 1216

页数：10

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