期刊论文

Hamada, H

英文

JOURNAL OF GEOMETRIC ANALYSIS

1050-6926

2024

34

9

1-23

10.1007/s12220-024-01717-3

This work of the first author was supported by the National Science Foundation of China (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 (No. 2016TP1020), and the Discipline Special Research Projects of Hengyang Normal University (No. XKZX21002); This work of the second author was supported by Japan Society for the Promotion of Science KAKENHI Grant Number JP22K03363; This work of the third author was supported by the extracurricular academic and scientific works competition project of Hengyang Normal University (No.33).

本校为第一机构

The main aim of this paper is to investigate Hardy-Littlewood type Theorems and a Hopf type lemma on functions induced by a differential operator. We first prove more general Hardy-Littlewood type theorems for the Dirichlet solution of a differential operator which depends on $$\alpha \in (-1,\infty )$$ over the unit ball $$\mathbb {B}^n$$ of $$\mathbb {R}^n$$ with $$n\ge 2$$ , related to the Lipschitz type space defined by a majorant which satisfies some assumption. We find that the case $$\a...