On homeomorphisms with finite distortion in the plane
Complex Variables
2010-11-19 v2
Abstract
It is shown that every homeomorphism f of finite distortion in the plane is the so-called lower Q-homeomorphism with Q(z)=K_f(z), and, on this base, it is developed the theory of the boundary behavior of such homeomorphisms.
Cite
@article{arxiv.1011.3310,
title = {On homeomorphisms with finite distortion in the plane},
author = {D. Kovtonyuk and I. Petkov. and V. Ryazanov},
journal= {arXiv preprint arXiv:1011.3310},
year = {2010}
}
Comments
16 pages, 2 figures, the proof of Theorem 3.1