Loewer链在复Banach空间复阶g-星形映射中的应用

IF 0.7 3区数学 Q2 MATHEMATICS

Pacific Journal of Mathematics Pub Date : 2023-06-02 DOI:10.2140/pjm.2023.323.401

Xiaofei Zhang, Shuxia Feng, Tai-Shun Liu, Jianfei Wang

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引用次数: 0

摘要

本文研究复阶λ的g -星形映射的几何性质和解析性质。利用Loewner链，得到了自反复Banach空间中单位球上复阶λ的g -星形映射的生长定理，推广了Graham、Hamada和Kohr的一些结果。作为应用，得到了复阶λ的g -星形映射的几种不同的畸变定理。最后，我们证明了复Banach空间中复阶λ的g -星形映射的Roper-Suffridge扩展算子保持其性质，推广了许多经典结果。

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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Loewner chains applied to g-starlike mappings of complex order of complex Banach spaces

This paper is devoted to studying geometric and analytic properties of g - starlike mappings of complex order λ . By using Loewner chains, we obtain the growth theorems for g -starlike mappings of complex order λ on the unit ball in reflexive complex Banach spaces, which generalize some results of Graham, Hamada and Kohr. As applications, several different kinds of distortion theorems for g -starlike mappings of complex order λ are obtained. Finally, we prove that the Roper–Suffridge extension operators preserve the property of g -starlike mappings of complex order λ in complex Banach spaces, which generalizes many classical results.

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来源期刊

Pacific Journal of Mathematics 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

4-8 weeks

期刊介绍： Founded in 1951, PJM has published mathematics research for more than 60 years. PJM is run by mathematicians from the Pacific Rim. PJM aims to publish high-quality articles in all branches of mathematics, at low cost to libraries and individuals. The Pacific Journal of Mathematics is incorporated as a 501(c)(3) California nonprofit.