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On the Refined Esitmates of All Homogeneous Expansions for a Subclass of Biholomorphic Starlike Mappings in Several Complex Variables

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Abstract

The refined estimates of all homogeneous expansions for a subclass of biholomorphic starlike mappings are mainly established on the unit ball in complex Banach spaces or the unit polydisk in ℂn with a unified method. Especially the results are sharp if the above mappings are further k-fold symmetric starlike mappings or k-fold symmetric starlike mappings of order α. The obtained results unify and generalize the corresponding results in some prior literatures.

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Acknowledgement

The authors would like to thank the referees for their useful comments and suggestions.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang, Guangdong, 524048, China

    Xiaosong Liu

  2. Department of Mathematics, Huzhou University, Huzhou, Zhejiang, 313000, China

    Taishun Liu

Authors
  1. Xiaosong Liu
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  2. Taishun Liu
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Corresponding authors

Correspondence to Xiaosong Liu or Taishun Liu.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 11871257, 11971165, 12071130).

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Liu, X., Liu, T. On the Refined Esitmates of All Homogeneous Expansions for a Subclass of Biholomorphic Starlike Mappings in Several Complex Variables. Chin. Ann. Math. Ser. B 42, 909–920 (2021). https://doi.org/10.1007/s11401-021-0297-y

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  • DOI: https://doi.org/10.1007/s11401-021-0297-y

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