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arXiv · 1403.7313

On lengths, areas and Lipschitz continuity of polyharmonic mappings

Jiaolong Chen·Antti Rasila·Xiantao Wang
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Abstract

In this paper, we continue our investigation of polyharmonic mappings in the complex plane. First, we establish two Landau type theorems. We also show a three circles type theorem and an area version of the Schwarz lemma. Finally, we study Lipschitz continuity of polyharmonic mappings with respect to the distance ratio metric.

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Jiaolong Chen, Antti Rasila, Xiantao Wang. 2014-03-28. On lengths, areas and Lipschitz continuity of polyharmonic mappings. https://arxiv.org/abs/1403.7313

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