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.

引用

页数：19

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