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arXiv · 1309.3767

Lengths, areas and Lipschitz-type spaces of planar harmonic mappings

Shaolin Chen·Saminathan Ponnusamy·Antti Rasila
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Abstract

In this paper, we establish a three circles type theorem, involving the harmonic area function, for harmonic mappings. Also, we give bounds for length and area distortion for harmonic quasiconformal mappings. Finally, we will study certain Lipschitz-type spaces on harmonic mappings.

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Shaolin Chen, Saminathan Ponnusamy, Antti Rasila. 2013-09-15. Lengths, areas and Lipschitz-type spaces of planar harmonic mappings. https://arxiv.org/abs/1309.3767

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