Boundary Schwarz lemma for pluriharmonic mappings between unit balls

被引：22

作者：

Liu, Yang ^{[1
,2
]}

Dai, Shaoyu ^{[3
]}

Pan, Yifei ^{[4
,5
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China

[3] Jinling Inst Technol, Dept Math, Nanjing 211169, Jiangsu, Peoples R China

[4] Indiana Univ Purdue Univ, Dept Math Sci, Ft Wayne, IN 46805 USA

[5] Jiangxi Normal Univ, Sch Math & Informat, Nanchang 330022, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 01期

关键词：

Schwarz lemma; Boundary Schwarz lemma; Pluriharmonic mapping; Unit ball;

D O I：

10.1016/j.jmaa.2015.08.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we get a Schwarz lemma for pluriharmonic mappings between the unit balls of any dimensions, which generalizes classical Schwarz lemma for bounded harmonic functions to higher dimensions. As an application of the Schwarz lemma obtained, a boundary Schwarz lemma is established for pluriharmonic mappings between unit balls with any dimensions. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：487 / 495

页数：9

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