A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL

doi:10.1007/s10473-019-0512-z

数学物理学报(英文版) ›› 2019, Vol. 39 ›› Issue (5): 1339-1344.doi: 10.1007/s10473-019-0512-z

A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL

戴绍虞¹, 陈怀惠²

1. School of Mathematics, Southeast University, Nanjing 210096, China Department of Mathematics, Jinling Institute of Technology, Nanjing 211169, China;
2. Department of Mathematics, Nanjing Normal University, Nanjing 210097, China

收稿日期:2018-01-02 修回日期:2018-12-21 出版日期:2019-10-25 发布日期:2019-11-11
通讯作者: Shaoyu DAI E-mail:dymdsy@163.com
作者简介:Huaihui CHEN,E-mail:hhchen@njnu.edu.cn
基金资助:
Research supported by the National Natural Science Foundation of China (11201199; 11071083; 11671361) and Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents.

A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL

Shaoyu DAI¹, Huaihui CHEN²

1. School of Mathematics, Southeast University, Nanjing 210096, China Department of Mathematics, Jinling Institute of Technology, Nanjing 211169, China;
2. Department of Mathematics, Nanjing Normal University, Nanjing 210097, China

Received:2018-01-02 Revised:2018-12-21 Online:2019-10-25 Published:2019-11-11
Contact: Shaoyu DAI E-mail:dymdsy@163.com
Supported by:
Research supported by the National Natural Science Foundation of China (11201199; 11071083; 11671361) and Jiangsu Overseas Visiting Scholar Program for University Prominent Young & Middle-aged Teachers and Presidents.

摘要/Abstract

摘要： We establish a precise Schwarz lemma for real-valued and bounded harmonic functions in the real unit ball of dimension n. This extends Chen's Schwarz-Pick lemma for real-valued and bounded planar harmonic mapping.

关键词: harmonic functions, Schwarz-Pick lemma, unit ball

Abstract: We establish a precise Schwarz lemma for real-valued and bounded harmonic functions in the real unit ball of dimension n. This extends Chen's Schwarz-Pick lemma for real-valued and bounded planar harmonic mapping.

Key words: harmonic functions, Schwarz-Pick lemma, unit ball

中图分类号:

31B05

戴绍虞, 陈怀惠. A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL[J]. 数学物理学报(英文版), 2019, 39(5): 1339-1344.

Shaoyu DAI, Huaihui CHEN. A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL[J]. Acta mathematica scientia,Series B, 2019, 39(5): 1339-1344.

参考文献

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A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL

A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL

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