A Note on Schwarz-Pick Lemma for Bounded Complex-Valued Harmonic Functions in the Unit Ball of R^n 被引量：1

A Note on Schwarz-Pick Lemma for Bounded Complex-Valued Harmonic Functions in the Unit Ball of R^n

导出

摘要 In this paper, the authors prove a Schwarz-Pick lemma for bounded complexvalued harmonic functions in the unit ball of Rn.

作者 Shaoyu DAI Yifei PAN

机构地区 Department of Mathematics Department of Mathematical Sciences

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2015年第1期67-80,共14页 数学年刊（B辑英文版）

基金 supported by the National Natural Science Foundation of China(No.11201199) the Scientific Research Foundation of Jinling Institute of Technology(No.Jit-b-201221) Qing Lan Project

关键词 Harmonic functions Schwarz-Pick lemma Unit ball 调和函数 Schwarz 单位球引理

分类号 O174.3 [理学—基础数学] O175 [理学—基础数学]

引文网络
相关文献

参考文献1

1CHEN HuaiHui.The Schwarz-Pick lemma for planar harmonic mappings[J].Science China Mathematics,2011,54(6):1101-1118. 被引量：9

二级参考文献8

1LIU MingSheng School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China.Estimates on Bloch constants for planar harmonic mappings[J].Science China Mathematics,2009,52(1):87-93. 被引量：16
2Georg Pick.über eine Eigenschaft der konformen Abbildung kreisf?rmiger Bereiche[J]. Mathematische Annalen . 1915 (1)
3Georg Pick.über die Beschr?nkungen analytischer Funktionen, welche durch vorgegebene Funktionswerte bewirkt werden[J]. Mathematische Annalen . 1915 (1)
4Chen H H,Gauthier P M,Hengartner W.Bloch constants for planar harmonic mappings. Proceedings of the American Mathematical Society . 2000
5Ahlfors,L.V. Conformal invariants: topics in geometric function theory . 1973
6Bshouty D,Hengartner W.Univalent harmonic mappings in the plane. Ann Univ Mariae Curie-Sklodowska Sect A . 1994
7Heinz,E.On one-to-one harmonic mappings. Pacific Journal of Mathematics . 1959
8Landau,E.Der Picard-Schottkysche Satz und die Blochsche Konstante. Preuss. Akad. Wiss. Berlin, Phys.-Math . 1926

共引文献8

1CHEN HuaiHui Department of Mathematics, Nanjing Normal University, Nanjing 210097, China.Some new results on planar harmonic mappings[J].Science China Mathematics,2010,53(3):597-604. 被引量：2
2CHEN HuaiHui.The Schwarz-Pick lemma and Julia lemma for real planar harmonic mappings[J].Science China Mathematics,2013,56(11):2327-2334. 被引量：4
3陈少林,PONNUSAMY Saminathan,王仙桃.多重调和映射的等周型和Fejer-Riesz型不等式[J].中国科学：数学,2014,44(2):127-138.
4王智刚,石磊,蒋月评.沿着某个方向凸的调和单叶映射的构造[J].中国科学：数学,2014,44(2):139-150.
5朱剑峰.平面调和映照Schwarz-Pick引理的一个表述[J].中国科学：数学,2014,44(8):837-842. 被引量：2
6黄子晏,赵迪,李红裔.复空间C^n中有界多重调和映射的Schwarz-Pick引理[J].数学物理学报（A辑）,2018,38(3):433-445.
7Shaoyu DAI,Huaihui CHEN.A SCHWARZ LEMMA FOR HARMONIC FUNCTIONS IN THE REAL UNIT BALL[J].Acta Mathematica Scientia,2019,39(5):1339-1344.
8李俊,陈铭新,王建飞.多重调和映射的同向两点Schwarz引理及应用[J].华侨大学学报（自然科学版）,2023,44(2):264-268.

同被引文献1

1CHEN HuaiHui.The Schwarz-Pick lemma for planar harmonic mappings[J].Science China Mathematics,2011,54(6):1101-1118. 被引量：9

引证文献1

1黄子晏,赵迪,李红裔.复空间C^n中有界多重调和映射的Schwarz-Pick引理[J].数学物理学报（A辑）,2018,38(3):433-445.

1Zhi Hua CHEN,Yang LIU.Schwarz-Pick Estimates for Bounded Holomorphic Functions in the Unit Ball of C^n[J].Acta Mathematica Sinica,English Series,2010,26(5):901-908. 被引量：10
2Yang LIU,Zhihua CHEN.A Note on Schwarz-Pick Estimate[J].Chinese Annals of Mathematics,Series B,2010,31(3):343-346. 被引量：4
3戴绍虞,陈怀惠.SCHWARZ-PICK ESTIMATES FOR PARTIAL DERIVATIVES OF ARBITARY ORDER OF BOUNDED HOLOMORPHIC FUNCTIONS IN THE UNIT BALL OF C^n[J].Acta Mathematica Scientia,2011,31(4):1624-1632. 被引量：5
4Yang LIU,Zhihua CHEN.Higher-Order Schwarz-Pick Estimates for Holomorphic Self-mappings on Classical Domains[J].Chinese Annals of Mathematics,Series B,2012,33(4):601-608. 被引量：2
5刘洋.典型域上高阶Frchet导数的Schwarz-Pick估计[J].中国科学：数学,2010,40(11):1091-1096.
6周继东.关于Schwarz-Pick定理的一个注记[J].河海大学学报（自然科学版）,1999,27(2):14-16.
7戴绍虞,潘一飞.A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL[J].Acta Mathematica Scientia,2014,34(6):1775-1780. 被引量：4
8张良.一个泛函不等式[J].西华师范大学学报（哲学社会科学版）,1986(2):61-66.
9CHEN HuaiHui.The Schwarz-Pick lemma and Julia lemma for real planar harmonic mappings[J].Science China Mathematics,2013,56(11):2327-2334. 被引量：4

Chinese Annals of Mathematics,Series B

2015年第1期

浏览历史

内容加载中请稍等...