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Continuity and boundary behavior of the Carathéodory metric

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Abstract

The boundary behavior of the higher-order Carathéodory metrics, the singular Carathéodory metric, and the Azukawa metric near anh-extendable boundary point of a bounded smooth pseudoconvex domain in ℂn are studied.

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Translated fromMathematicheskie Zametski, Vol. 67, No. 2, pp. 230–240, February, 2000.

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Nikolov, N. Continuity and boundary behavior of the Carathéodory metric. Math Notes 67, 183–191 (2000). https://doi.org/10.1007/BF02686245

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  • DOI: https://doi.org/10.1007/BF02686245

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