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Schwarz Lemma at the Boundary on the Classical Domain of Type \(\mathcal{III}\)

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Abstract

Let \(\mathcal{R}_\mathcal{III}(n)\) be the classical domain of type \(\mathcal{III}\) with n ≥ 2. This article is devoted to a deep study of the Schwarz lemma on \(\mathcal{R}_\mathcal{III}(n)\) via not only exploring the smooth boundary points of \(\mathcal{R}_\mathcal{III}(n)\)) but also proving the Schwarz lemma at the smooth boundary point for holomorphic self-map**s of \(\mathcal{R}_\mathcal{III}(n)\).

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Acknowledgement

The authors express their gratitude to the referees for useful advice.

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Authors and Affiliations

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

    Taishun Liu & **aomin Tang

  2. Department of Mathematics, Shenzhen University, Shenzhen, Guangdong, 518060, China

    Wenjun Zhang

Authors
  1. Taishun Liu
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  2. **aomin Tang
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  3. Wenjun Zhang
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Corresponding author

Correspondence to **aomin Tang.

Additional information

This work was supported by the National Natural Science Foundation of China (Nos. 11571105, 11771139).

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Liu, T., Tang, X. & Zhang, W. Schwarz Lemma at the Boundary on the Classical Domain of Type \(\mathcal{III}\). Chin. Ann. Math. Ser. B 41, 335–360 (2020). https://doi.org/10.1007/s11401-020-0202-0

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  • DOI: https://doi.org/10.1007/s11401-020-0202-0

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