On lengths, areas and Lipschitz continuity of polyharmonic mappings

2014/03/28 by Chen, Jiaolong, Rasila, Antti, Wang, Xiantao
#30C45 #30H30 #Complex Variables (math.CV) #FOS: Mathematics #Primary: 30H10 #Secondary: 30C20

paper · doi:10.48550/arxiv.1403.7313

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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