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The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variables

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Abstract

The authors establish the coefficient inequalities for a class of holomorphic mappings on the unit ball in a complex Banach space or on the unit polydisk in ℂn, which are natural extensions to higher dimensions of some Fekete and Szegö inequalities for subclasses of the normalized univalent functions in the unit disk.

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Acknowledgement

The authors are grateful to the anonymous referees for their valuable comments and suggestions which help them to improve the quality of the paper.

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Authors and Affiliations

  1. School of Science, Zhejiang University of Science and Technology, Hangzhou, 310023, China

    Qinghua Xu

  2. Department of Mathematics, Huzhou Teacher’s University, Huzhou, 313000, Zhejiang, China

    Taishun Liu

  3. School of Mathematics and Computation Science, Lingnan Normal University, Zhanjiang, 524048, Guangdong, China

    Xiaosong Liu

Authors
  1. Qinghua Xu
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  2. Taishun Liu
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  3. Xiaosong Liu
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Corresponding authors

Correspondence to Qinghua Xu, Taishun Liu or Xiaosong Liu.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 11971165, 11561030, 11471111), the Jiangxi Provincial Natural Science Foundation of China (Nos. 20152ACB20002, 20161BAB201019) and the Natural Science Foundation of Department of Education of Jiangxi Province of China (No. GJJ150301).

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Xu, Q., Liu, T. & Liu, X. The Coefficient Inequalities for a Class of Holomorphic Mappings in Several Complex Variables. Chin. Ann. Math. Ser. B 41, 37–48 (2020). https://doi.org/10.1007/s11401-019-0184-y

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  • DOI: https://doi.org/10.1007/s11401-019-0184-y

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