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arXiv · 2202.07918

Bloch and Landau type theorems for pluriharmonic mappings

Ming-Sheng Liu·Saminathan Ponnusamy
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Abstract

In this paper, we establish two new versions of Landau-type theorems for pluriharmonic mappings with a bounded distortion. Then using these results, we derive three Bloch-type theorems of pluriharmonic mappings, which improve the corresponding results of Chen and Gauthier.

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Ming-Sheng Liu, Saminathan Ponnusamy. 2022-02-16. Bloch and Landau type theorems for pluriharmonic mappings. https://arxiv.org/abs/2202.07918

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