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Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc

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Abstract

We give higher order derivatives Schwarz-Pick estimates for all positive real part holomorphic functions on B n and D n, and generalize early work on Schwarz-Pick estimate of higher order derivatives for holomorphic functions with positive real part on unit disk in ℂ.

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Authors and Affiliations

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

    Yang Liu

  2. Department of Mathematics, Tongji University, Shanghai, 200092, China

    ZhiHua Chen

Authors
  1. Yang Liu
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  2. ZhiHua Chen
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Correspondence to Yang Liu.

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Liu, Y., Chen, Z. Schwarz-Pick estimates for positive real part holomorphic functions on unit ball and polydisc. Sci. China Math. 53, 1017–1024 (2010). https://doi.org/10.1007/s11425-009-0205-5

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  • DOI: https://doi.org/10.1007/s11425-009-0205-5

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