Lengths, area and modulus of continuity of some classes of complex-valued functions
arXiv:1903.07086 · doi:10.1007/s00025-019-1028-5
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.
15 pages