Articles

SCHWARZ-PICK ESTIMATES FOR PARTIAL DERIVATIVES OF ARBITARY ORDER OF BOUNDED HOLOMORPHIC FUNCTIONS#br# IN THE UNIT BALL OF Cn

  • DAI Shao-Yu ,
  • CHEN Huai-Hui
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  • 1. Department of Mathematics, Nanjing Normal University, Nanjing 210097, China
    2. Department of General Study Program, Jinling Institute of Technology, Nanjing 211169, China

Received date: 2009-09-16

  Revised date: 2010-08-30

  Online published: 2011-07-20

Supported by

Supported by the National Natural Science Foundation of China (10671093).

Abstract

This paper gives a Schwarz-Pick estimate for bounded holomorphic functions in the unit ball of Cn.

Cite this article

DAI Shao-Yu , CHEN Huai-Hui . SCHWARZ-PICK ESTIMATES FOR PARTIAL DERIVATIVES OF ARBITARY ORDER OF BOUNDED HOLOMORPHIC FUNCTIONS#br# IN THE UNIT BALL OF Cn[J]. Acta mathematica scientia, Series B, 2011 , 31(4) : 1624 -1632 . DOI: 10.1016/S0252-9602(11)60348-2

References

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[2] Zhang M Z. Generalized Schwarz-Pick lemma. Acta Mathematica Sinica, Chinese Series, 2006, 49(3): 613–616

[3] Dai S Y, Pan Y F. Note on Schwarz-Pick estimates for bounded and positive real part analytic functions. Proc Amer Math Soc, 2008, 136(2): 635–640

[4] Chen Z H, Liu Y. Schwarz-Pick estimates for bounded holomorphic functions in the unit ball of Cn. Acta Mathematica Sinica, English Series, 2010, 26(5): 901–908

[5] Rudin W. Function Theory in the Unit Ball of Cn. New York: Springer, 1980

[6] Krantz S G, Parks H R. Primer of Real Analytic Functions. Basel: Birkhauser, 1992

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