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

• 论文 • 上一篇    下一篇

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

戴绍虞|潘一飞   

  1. 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   

  1. 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:

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