Lengths, area and modulus of continuity of some classes of complex-valued functions
Complex Variables
2019-05-07 v1
Abstract
In this paper, we discuss the modulus of continuity of solutions to Poisson's equation, and give bounds of length and area distortion for some classes of -quasiconformal mappings satisfying Poisson's equations. The obtained results are the extension of the corresponding classical results.
Keywords
Cite
@article{arxiv.1903.07086,
title = {Lengths, area and modulus of continuity of some classes of complex-valued functions},
author = {Shaolin Chen},
journal= {arXiv preprint arXiv:1903.07086},
year = {2019}
}
Comments
15 pages