涉及施瓦茨映射的玻尔不等式精炼版的多维类似物

arXiv - MATH - Complex Variables Pub Date : 2024-09-16 DOI:arxiv-2409.10091

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为单位盘中涉及施瓦茨函数的有界解析函数建立几个新版本的精炼玻尔不等式。其次，作为这些结果的应用，我们得到了复巴纳赫空间中单位球上有界全形映射涉及高维施瓦茨映射的精炼玻尔不等式的若干新的多维类似结果。所有结果都被证明是清晰的。

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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, %as applications of these results, 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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arXiv - MATH - Complex Variables

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