Articles

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

  • DAI Shao-Yu ,
  • PAN Yi-Fei
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  • 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 date: 2013-08-21

  Online 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.

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.

Cite this article

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 . DOI: 10.1016/S0252-9602(14)60122-3

References


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[3] Rudin W. Function Theory in Polydiscs. New York: Benjamin, 1969


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[5] Anderson J M, Dritschel M A, Rovnyak J. Schwarz-Pick inequalities for the Schur-Agler class on the polydisk and unit ball. Comput Methods Funct Theory, 2008, 8(2): 339–361


[6] Liu Y, Chen Z H. Schwarz-Pick estimates for holomorphic mappings from the polydisk to the unit ball. J Math Anal Appl, 2011, 376(1): 123–128

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