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

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Abstract

Let \(\mathcal {R}_{\mathcal {II}}(n)\) be the classical domain of type \(\mathcal {II}\). We first obtain a sufficient and necessary condition such that the boundary points of \(\mathcal {R}_{\mathcal {II}}(n)\) are smooth. We then establish a new type of the classical boundary Schwarz lemma for holomorphic self-map**s of \(\mathcal {R}_{\mathcal {II}}(n)\).

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Acknowledgements

This research was supported by NNSF of China (Nos. 11571105, 11471111, and 11501198).

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Correspondence to **aomin Tang.

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Tang, X., Liu, T. & Zhang, W. Schwarz Lemma at the Boundary on the Classical Domain of Type \(\mathcal {II}\) . J Geom Anal 28, 1610–1634 (2018). https://doi.org/10.1007/s12220-017-9880-6

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  • DOI: https://doi.org/10.1007/s12220-017-9880-6

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