Arithmetic Bohr radius for the Minkowski space

IF 1 3区数学 Q1 MATHEMATICS

Forum Mathematicum Pub Date : 2024-06-25 DOI:10.1515/forum-2023-0425

Vasudevarao Allu, Himadri Halder, Subhadip Pal

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引用次数: 0

Abstract

The main aim of this paper is to study the arithmetic Bohr radius for holomorphic functions defined on a Reinhardt domain in ℂ n

{\mathbb{C}^{n}}

with positive real part. The present investigation is motivated by the work of Lev Aizenberg [Proc. Amer. Math. Soc. 128 (2000), 2611–2619]. A part of our study in the present paper includes a connection between the classical Bohr radius and the arithmetic Bohr radius of unit ball in the Minkowski space ℓ q n

{\ell^{n}_{q}}

, 1 ≤ q ≤ ∞

{1\leq q\leq\infty}

. Further, we determine the exact value of a Bohr radius in terms of arithmetic Bohr radius.

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闵科夫斯基空间的算术玻尔半径

本文的主要目的是研究定义在ℂ n {\mathbb{C}^{n} 中具有正实部的莱因哈特域上的全形函数的算术玻尔半径。本研究受 Lev Aizenberg [Proc. Amer. Math. Soc. 128 (2000), 2611-2619] 的工作启发。本文研究的一部分包括经典玻尔半径与闵科夫斯基空间中单位球的算术玻尔半径 ℓ q n {\ell^{n}_{q}} 之间的联系。 1 ≤ q ≤ ∞ {1\leq q\leq\infty} 。此外，我们用算术玻尔半径来确定玻尔半径的精确值。

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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来源期刊

Forum Mathematicum 数学-数学

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Forum Mathematicum is a general mathematics journal, which is devoted to the publication of research articles in all fields of pure and applied mathematics, including mathematical physics. Forum Mathematicum belongs to the top 50 journals in pure and applied mathematics, as measured by citation impact.