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.
Original language | English |
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Pages (from-to) | 1196-1212 |
Number of pages | 17 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 422 |
Issue number | 2 |
DOIs | |
State | Published - 15 Feb 2015 |
Externally published | Yes |
Keywords
- Area distortion
- Length distortion
- Lipschitz continuity
- Polyharmonic mapping