期刊论文

Chen, SL

英文

Mathematische Zeitschrift

0025-5874

2023

305

4

1-30

10.1007/s00209-023-03392-6

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 Number JP22K03363.

本校为第一且通讯机构

The purpose of this paper is to develop some methods to study (Fejér-)Riesz type inequalities, Hardy–Littlewood type theorems and smooth moduli of holomorphic, pluriharmonic and harmonic functions in high-dimensional cases. Initially, we prove some sharp Riesz type inequalities of pluriharmonic functions on bounded symmetric domains. The obtained results extend the main results in Kalaj (Trans Am Math. Soc. 372:4031–4051, 2019). Next, some Hardy–Littlewood type theorems of holomorphic and pluriharmonic functions on John domains are establis...