On $\mu$-conformal homeomorphisms and boundary correspondence
Complex Variables
2011-02-25 v1
Abstract
We study the boundary correspondence under -homeomorphisms of the open upper half-plane onto itself. Sufficient conditions are given for to admit a homeomorphic extension to the closed half-plane with prescribed boundary regularity. The proofs are based on the modulus estimates for semiannuli in terms of directional dilatations of which might be of independent interest.
Cite
@article{arxiv.1102.4987,
title = {On $\mu$-conformal homeomorphisms and boundary correspondence},
author = {Vladimir Gutlyanskii and Ken-ichi Sakan and Toshiyuki Sugawa},
journal= {arXiv preprint arXiv:1102.4987},
year = {2011}
}
Comments
15 pages