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

被引：4
|
作者：
Fu, Xi [1 ]
Qiao, Jinjing [2 ]
机构：
[1] Shanghai Polytech Univ, Dept Math, Coll Arts & Sci, Shanghai 201209, Peoples R China
[2] Hebei Univ, Coll Math & Informat Sci, Baoding 071002, Hebei, Peoples R China
来源：
BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | 2021年 / 58卷 / 02期
关键词：
p-harmonic function; Bergman space; Bloch space; integral mean;
D O I：
10.4134/BKMS.b200367
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the properties of Bergman spaces, Bloch spaces and integral means of p-harmonic functions on the unit ball in R-n. Firstly, we offer some Lipschitz-type and double integral characterizations for Bergman space A(gamma)(k). Secondly, we characterize Bloch space B-omega(alpha) 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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页码：481 / 495
页数：15
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