Bohr's inequality for holomorphic and pluriharmonic mappings with values in complex Hilbert spaces

被引：4

作者：

Hamada, Hidetaka ^{[1
,2
]}

机构：

[1] Kyushu Sangyo Univ, Fac Sci & Engn, Fukuoka, Japan

[2] Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai,2 Chome,Higashi Ku, Fukuoka 8138503, Japan

来源：

MATHEMATISCHE NACHRICHTEN | 2023年 / 296卷 / 07期

基金：

日本学术振兴会;

关键词：

Bohr's inequality; Hilbert space; holomorphic mapping; lacunary series; pluriharmonic mapping; ANALYTIC-FUNCTIONS; SUBORDINATING FAMILIES; LACUNARY SERIES; BLOCH FUNCTIONS; UNIT BALL; THEOREM; RADIUS;

D O I：

10.1002/mana.202100537

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let B(H )be the unit ball of a complex Hilbert space H. First, we give a Bohr's inequality for the holomorphic mappings with lacunary series with values in complex Hilbert balls. Next, we give several results on Bohr's inequality for pluri-harmonic mappings with values in l(2). Note that the Bohr phenomenons that we have obtained are completely different from those in the case with values in C and are sharp in the case with values in l(2).

引用

页码：2795 / 2808

页数：14

共 23 条

[21] Operator Popoviciu's inequality for superquadratic and convex functions of selfadjoint operators in Hilbert spaces
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[22] A General Iterative Method for Solving the Variational Inequality Problem and Fixed Point Problem of an Infinite Family of Nonexpansive Mappings in Hilbert Spaces
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[23] BEURLING'S PHENOMENON ON ANALYTIC HILBERT SPACES OVER THE COMPLEX PLANE
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PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2010, 138 (04) : 1439 - 1446

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