复Banach空间中单位球上B型拟凸映射的系数问题

Pub Date : 2023-10-01 DOI:10.1515/ms-2023-0089

Ruyu Zhang, Dongling Ouyang, Liangpeng Xiong

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引用次数: 0

摘要

文摘本文Fekete-Szego问题的尖锐的解决方案提供了一类拟凸映射f 1 B型和类拟凸映射f 2 B型和秩序的α单位球上定义在一个复杂的巴拿赫空间,分别在x = 0是一个零阶k + 1 f (x)−x (i = 1, 2)。与最近的一些工作,我们的主要定理没有额外的限制条件。此外，我们的主要定理的证明比前面的结果更简单。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

ABSTRACT In this paper, the sharp solutions of Fekete-Szegö 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 α 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.

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