BERGMAN SPACES, BLOCH SPACES AND INTEGRAL MEANS OF p-HARMONIC FUNCTIONS

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2021-01-01 DOI:10.4134/BKMS.B200367

Xi Fu, J. Qiao

引用次数: 3

Abstract

In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in Rn. Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space Aγ . Secondly, we characterize Bloch space Bα ω in terms of weighted Lipschitz conditions and BMO functions. Finally, a Hardy-Littlewood type theorem for integral means of p-harmonic functions is established.

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伯格曼空间、布洛赫空间与p调和函数的积分方法

本文研究了Rn中单位球上的Bergman空间、Bloch空间和p-调和函数的积分均值的性质。首先，我们给出了Bergman空间Aγ的lipschitz型和二重积分表征。其次，用加权Lipschitz条件和BMO函数对Bloch空间Bα ω进行了刻画。最后，建立了p调和函数积分均值的Hardy-Littlewood型定理。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).