On lengths,areas and Lipschitz continuity of polyharmonic mappings |
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| Authors: | J Chen A Rasila X Wang |
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| Institution: | 1. Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, People''s Republic of China;2. Department of Mathematics and Systems Analysis, Aalto University, P.O. Box 11100, FI-00076 Aalto, Finland;3. Department of Mathematics, Shantou University, Shantou 515063, People''s Republic of China |
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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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| Keywords: | Length distortion Area distortion Lipschitz continuity Polyharmonic mapping |
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