某些有界双分析函数和双调和映射的LANDAU-型定理

IF 0.5 4区数学 Q3 MATHEMATICS Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques Pub Date : 2023-02-15 DOI:10.4153/s0008439523000577

Ming-Sheng Liu, S. Ponnusamy

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引用次数: 0

摘要

本文建立了$F(z)=\bar{z}G(z)+H(z)$的有界双解析函数的三个新版本的landau型定理，其中$G$和$H$在单位圆盘$|z|<1$上解析，$G(0)=H(0)=0$和$H'(0)=1$。其中两个是尖锐的，另一个是概括或改进了Abdulhadi和Hajj的相应结果。作为结果，证明了有界双调和映射的某些子类的朗道型定理的几个新的尖锐版本。

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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LANDAU-TYPE THEOREMS FOR CERTAIN BOUNDED BI-ANALYTIC FUNCTIONS AND BIHARMONIC MAPPINGS

In this paper, we establish three new versions of Landau-type theorems for bounded bi-analytic functions of the form $F(z)=\bar{z}G(z)+H(z)$, where $G$ and $H$ are analytic in the unit disk $|z|<1$ with $G(0)=H(0)=0$ and $H'(0)=1$. In particular, two of them are sharp while the other one either generalizes or improves the corresponding result of Abdulhadi and Hajj. As consequences, several new sharp versions of Landau-type theorems for certain subclasses of bounded biharmonic mappings are proved.

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来源期刊

Canadian Mathematical Bulletin-Bulletin Canadien De Mathematiques 数学-数学

CiteScore

1.30

自引率

0.00%

发文量

审稿时长

24 months

期刊介绍： The Canadian Mathematical Bulletin was established in 1958 to publish original, high-quality research papers in all branches of mathematics and to accommodate the growing demand for shorter research papers. The Bulletin is a companion publication to the Canadian Journal of Mathematics that publishes longer papers. New research papers are published continuously online and collated into print issues four times each year. To be submitted to the Bulletin, papers should be at most 18 pages long and may be written in English or in French. Longer papers should be submitted to the Canadian Journal of Mathematics. Fondé en 1958, le Bulletin canadien de mathématiques (BCM) publie des articles d’avant-garde et de grande qualité dans toutes les branches des mathématiques, de même que pour répondre à la demande croissante d’articles scientifiques plus brefs. Le BCM se veut une publication complémentaire au Journal canadien de mathématiques, qui publie de longs articles. En ligne, il propose constamment de nouveaux articles de recherche, puis les réunit dans des numéros imprimés quatre fois par année. Les textes présentés au BCM doivent compter au plus 18 pages et être rédigés en anglais ou en français. C’est le Journal canadien de mathématiques qui reçoit les articles plus longs.

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