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High-order Schwarz-Pick Lemma for the Schur class on the polydisc

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Abstract

In this paper, we give Schwarz-Pick Lemma for functions in the Schur class on the polydisc of ℂn, and generalize some early work of Schwarz-Pick Lemma for functions in the Schur class on the unit disk of C and functions in the Schur-Agler class on the polydisc of ℂn.

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Authors and Affiliations

  1. Department of Mathematics, Zhejiang Normal University, Jinhua, 321004, Peoples’ Republic of China

    Yang Liu

  2. Department of Mathematics, Tongji University, Shanghai, 200092, Peoples’ Republic of China

    Zhihua Chen

Authors
  1. Yang Liu
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  2. Zhihua Chen
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Corresponding author

Correspondence to Yang Liu.

Additional information

This work was supported by the National Natural Science Foundations of China (No. 11171255, 11101373), Doctoral Program Foundation of the Ministry of Education of China (No. 20090072110053), and Zhejiang Innovation Project (No. T200905).

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Liu, Y., Chen, Z. High-order Schwarz-Pick Lemma for the Schur class on the polydisc. Indian J Pure Appl Math 43, 411–419 (2012). https://doi.org/10.1007/s13226-012-0025-0

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  • DOI: https://doi.org/10.1007/s13226-012-0025-0

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