期刊论文

Chen, SL

英文

Bulletin of the Malaysian Mathematical Sciences Society

0126-6705

2023

46

4

1-19

10.1007/s40840-023-01540-z

The authors would like to thank the referee for many valuable suggestions. The research of the first author was partly supported by the National Science Foundation of China (Grant No. 12071116), the Hunan Provincial Natural Science Foundation of China (No. 2022JJ10001), the Key Projects of Hunan Provincial Department of Education (Grant No. 21A0429), the Double First-Class University Project of Hunan Province (Xiangjiaotong [2018]469), the Science and Technology Plan Project of Hunan Province (2016TP1020), and the Discipline Special Research Projects of Hengyang Normal University (XKZX21002); The research of the second author was partly supported by JSPS KAKENHI Grant No. JP22K03363.

本校为第一且通讯机构

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 $$K\ge 1$$ and $$K'\ge 0$$ are constants.