A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL

doi:10.1016/S0252-9602(14)60122-3

数学物理学报(英文版) ›› 2014, Vol. 34 ›› Issue (6): 1775-1780.doi: 10.1016/S0252-9602(14)60122-3

A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL

戴绍虞|潘一飞

Department of Mathematics, Jinling Institute of Technology, Nanjing 211169, China； School of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330022, China；Department of Mathematical Sciences, Indiana University - Purdue University Fort Wayne, Fort Wayne, IN 46805-1499, USA

收稿日期:2013-08-21 出版日期:2014-11-20 发布日期:2014-11-20
基金资助:
The first author is supported by the National Natural Science Foundation of China (11201199), the Scientific Research Foundation of Jinling Institute of Technology (Jit-b-201221) and Qing Lan Project.

A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL

DAI Shao-Yu, PAN Yi-Fei

Department of Mathematics, Jinling Institute of Technology, Nanjing 211169, China； School of Mathematics and Informatics, Jiangxi Normal University, Nanchang 330022, China；Department of Mathematical Sciences, Indiana University - Purdue University Fort Wayne, Fort Wayne, IN 46805-1499, USA

Received:2013-08-21 Online:2014-11-20 Published:2014-11-20
Supported by:
The first author is supported by the National Natural Science Foundation of China (11201199), the Scientific Research Foundation of Jinling Institute of Technology (Jit-b-201221) and Qing Lan Project.

摘要/Abstract

摘要：

In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball. This result extends some related results.

关键词: holomorphic mappings, Schwarz-Pick lemma, the polydisk

Abstract:

In this paper we prove a Schwarz-Pick lemma for the modulus of holomorphic mappings from the polydisk into the unit ball. This result extends some related results.

Key words: holomorphic mappings, Schwarz-Pick lemma, the polydisk

中图分类号:

32H02

戴绍虞, 潘一飞. A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL[J]. 数学物理学报(英文版), 2014, 34(6): 1775-1780.

DAI Shao-Yu, PAN Yi-Fei. A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL[J]. Acta mathematica scientia,Series B, 2014, 34(6): 1775-1780.

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A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL

A SCHWARZ-PICK LEMMA FOR THE MODULUS OF HOLOMORPHIC MAPPINGS FROM THE POLYDISK INTO THE UNIT BALL

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