涉及施瓦茨映射的玻尔不等式精细化版本的多维类似物

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-05-19 DOI:10.1007/s13324-025-01084-4

Shanshan Jia, Ming-Sheng Liu, Saminathan Ponnusamy

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引用次数: 0

摘要

本文的第一个目的是建立涉及Schwarz函数的单位圆盘上有界解析函数的几个新版本的精炼玻尔不等式。其次，我们得到了包含高维Schwarz映射的复Banach空间中单位球上有界全纯映射的几个改进的Bohr不等式的多维类似。所有结果都被证明是尖锐的。

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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Multidimensional analogues of the refined versions of Bohr inequalities involving Schwarz mappings

Our first aim of this article is to establish several new versions of refined Bohr inequalities for bounded analytic functions in the unit disk involving Schwarz functions. Secondly, we obtain several new multidimensional analogues of the refined Bohr inequalities for bounded holomorphic mappings on the unit ball in a complex Banach space involving higher dimensional Schwarz mappings. All the results are proved to be sharp.

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.