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).
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页码：2795 / 2808
页数：14
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