Lengths, areas and Lipschitz-type spaces of planar harmonic mappings
Complex Variables
2013-09-17 v1 Analysis of PDEs
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.
Keywords
Cite
@article{arxiv.1309.3767,
title = {Lengths, areas and Lipschitz-type spaces of planar harmonic mappings},
author = {Shaolin Chen and Saminathan Ponnusamy and Antti Rasila},
journal= {arXiv preprint arXiv:1309.3767},
year = {2013}
}
Comments
14 pages