[1]李孟华,陈行堤.非对称区间上调和函数的Schwarz引理[J].华侨大学学报(自然科学版),2017,38(6):898-902.[doi:10.11830/ISSN.1000-5013.201612009]
　LI Menghua,CHEN Xingdi.Schwarz Lemma for Harmonic Functionsin Asymmetric Interval[J].Journal of Huaqiao University(Natural Science),2017,38(6):898-902.[doi:10.11830/ISSN.1000-5013.201612009]
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非对称区间上调和函数的Schwarz引理()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第38卷
期数:
2017年第6期
页码:
898-902
栏目:
出版日期:
2017-11-20

文章信息/Info

Title:
Schwarz Lemma for Harmonic Functionsin Asymmetric Interval
文章编号:
1000-5013(2017)06-0898-05
作者:
李孟华;  陈行堤
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
LI Menghua;  CHEN Xingdi
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
调和函数;  Schwarz引理;  Poisson核;  平均值定理
Keywords:
harmonic mapping;  Schwarz lemma;  Poisson kernel;  mean-value theorem
分类号:
O174.55
DOI:
10.11830/ISSN.1000-5013.201612009
文献标志码:
A
摘要:
研究单位球到给定一般区间上的实调和函数的Schwarz型引理.运用调和函数的平均值定理,将像域在对称区间［-1,1］上的调和函数的Schwarz引理推广到在一般区间［a,b］上.作为一个应用,改进了Partyka和Sakan的一个结果,得到实调和函数的下界估计.
Abstract:
In this paper, we investigate the Schwarz lemma for real harmonic functions of the unit ball into a general interval. By appealing to the method of mean-value theorem of harmonic functions, we obtain the Schwarz lemma of harmonic functions with their image domains generalized from the symmetric interval ［-1,1］ to a general interval ［a,b］. As an application of this result, we improve the upper bound estimate given by Partyka and Sakan. Moreover, a lower bound for this class of harmonic functions is also given.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2016-12-04
通信作者: 陈行堤(1976-),男,教授,博士,主要从事函数论的研究.E-mail:chxtt@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11471128); 福建省自然科学基金计划资助项目(2014J01013); 华侨大学青年教师科研提升计划资助项目(ZQN-YX110); 华侨大学研究生科研创新能力培育计划资助项目(1511313002)
更新日期/Last Update: 2017-11-20