论文标题
关于Riesz类型的不平等，硬木材类型定理和平滑模量
On Riesz type inequalities, Hardy-Littlewood type theorems and smooth moduli
论文作者
论文摘要
本文的目的是开发一些研究Riesz型不平等，硬木型定理以及在高维病例中的全体形态，pluriharmonic和谐波功能的平滑模量的方法。最初，我们证明了一些尖锐的Riesz型不平等，对有限的对称域上的pluriharmonic函数。获得的结果扩展了（\ textit {trans。Amer。Math。Soc。} {\ BF 372}（2019）〜4031--4051）中的主要结果。此外，还建立了约翰域上的一些hollomorthic和pluriharmonic功能的一些硬木型定理。此外，我们还讨论了Holomorthic，pluriharmonic和谐波功能的耐铁木材定理和平滑模量。因此，我们在（\ textIt {acta Math。} {\ bf 178}（1997）〜143--167）和（\ textit {adv。Math.} {\ bf 187}（2004）（2004）（2004）〜146---172中，我们改善和推广相应的结果。
The purpose of this paper is to develop some methods to study 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 (\textit{Trans. Amer. Math. Soc.} {\bf 372} (2019)~ 4031--4051). Furthermore, some Hardy-Littlewood type theorems of holomorphic and pluriharmonic functions on John domains are established. Additionally, we also discuss the Hardy-Littlewood type theorems and smooth moduli of holomorphic, pluriharmonic and harmonic functions. Consequently, we improve and generalize the corresponding results in (\textit{Acta Math.} {\bf 178} (1997)~ 143--167) and (\textit{Adv. Math.} {\bf 187} (2004)~ 146--172).
