复巴拿赫空间单位球上的玻尔现象

IF 0.9 4区数学 Q2 MATHEMATICS Mathematical Inequalities & Applications Pub Date : 2020-01-01 DOI:10.7153/mia-2020-23-98

H. Hamada, Tatsuhiro Honda, Y. Mizota

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引用次数: 4

摘要

设BX是复巴拿赫空间X的单位球。本文将C中单位圆盘U上解析函数或调和函数的玻尔半径的几个有关结果推广到BX上的全纯映射或多调和映射。我们建立了BX上属于凸映射的全纯映射的玻尔不等式。接下来，我们将建立BX上多谐映射的玻尔不等式。我们也将得到BX上有界多谐函数的p -Bohr半径。最后，我们将确定BX上一类包含奇数全纯函数的全纯函数的玻尔半径。数学学科分类(2010):32A05、32A10、32K05。

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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Bohr phenomenon on the unit ball of a complex Banach space

Let BX be the unit ball of a complex Banach space X . In this paper, we will generalize several results related to the Bohr radius for analytic functions or harmonic functions on the unit disc U in C to holomorphic mappings or pluriharmonic mappings on BX . We will establish Bohr’s inequality for the class of holomorphic mappings which are subordinate to convex mappings on BX . Next, we will establish Bohr’s inequality for pluriharmonic mappings on BX . We will also obtain the p -Bohr radius for bounded pluriharmonic functions on BX . Finally, we will determine the Bohr radius for a class of holomorphic functions on BX which contains odd holomorphic functions on BX . Mathematics subject classification (2010): 32A05, 32A10, 32K05.

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来源期刊

Mathematical Inequalities & Applications 数学-数学

CiteScore

2.30

自引率

10.00%

发文量

审稿时长

6-12 weeks

期刊介绍： ''Mathematical Inequalities & Applications'' (''MIA'') brings together original research papers in all areas of mathematics, provided they are concerned with inequalities or their role. From time to time ''MIA'' will publish invited survey articles. Short notes with interesting results or open problems will also be accepted. ''MIA'' is published quarterly, in January, April, July, and October.