期刊论文

Chen, SL

英文

中国科学：数学英文版

1674-7283

2024

1-26

10.1007/s11425-023-2245-3

National Science Foundation of China [12071116]; Hunan Provincial Natural Science Foundation of China [2022JJ10001]; Key Projects of Hunan Provincial Department of Education [21A0429]; Double First-Class University Project of Hunan Province [[2018]469]; Science and Technology Plan Project of Hunan Province [2016TP1020]; Discipline Special Research Projects of Hengyang Normal University [XKZX21002]; Japan Society for the Promotion of Science KAKENHI [JP22K03363]

本校为第一且通讯机构

The primary goal of this paper is to develop methods for investigating equivalent norms and Hardy-Littlewood-type theorems on Lipschitz-type spaces of analytic and complex-valued harmonic functions. First, we provide characterizations of equivalent norms on these spaces. Furthermore, we establish Hardy-Littlewood-type theorems for complex-valued harmonic functions. These results improve and extend the main findings of Dyakonov (1997) and Dyakonov (2005). Additionally, we apply the derived equivalent norms and Hardy-Littlewood-type theorem...