Hardy Type Spaces and Bergman Type Classes of Complex-Valued Harmonic Functions

被引：0
|
作者：
Chen, Shaolin [1 ,2 ]
Hamada, Hidetaka [3 ]
机构：
[1] Hengyang Normal Univ, Coll Math & Stat, Hengyang 421002, Hunan, Peoples R China
[2] Hunan Prov Key Lab Intelligent Informat Proc & App, Hengyang 421002, Hunan, Peoples R China
[3] Kyushu Sangyo Univ, Fac Sci & Engn, 3-1 Matsukadai 2 Chome,Higashi Ku, Fukuoka 8138503, Japan
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2023年 / 46卷 / 04期
基金：
美国国家科学基金会;
关键词：
Bergman type class; Complex-valued harmonic function; Elliptic mapping; Hardy type space;
D O I：
10.1007/s40840-023-01540-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main purpose of this paper is to discuss Hardy type spaces and Bergman type classes of complex-valued harmonic functions. We first establish a Hardy-Littlewood type theorem on complex-valued harmonic functions. Next, the relationships between the Bergman type classes and the Hardy type spaces of complex-valued harmonic functions or the relationships between the Bergman type classes and the Hardy type spaces of harmonic (K, K')-elliptic mappings will be discussed, where K = 1 and K' = 0 are constants.
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页数：19
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