On lengths, areas and Lipschitz continuity of polyharmonic mappings

Published 28 Mar 2014 in math.CV | (1403.7313v1)

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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