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arxiv: 1403.7313 · v1 · pith:DR6HEFLJnew · submitted 2014-03-28 · 🧮 math.CV

On lengths, areas and Lipschitz continuity of polyharmonic mappings

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keywords mappingspolyharmoniccontinuitylipschitztypeareaareascircles
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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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