Invertible harmonic mappings of unit disk onto Dini smooth Jordan domains
Complex Variables
2015-03-06 v1
Abstract
In this paper we extend Rado-Choquet-Kneser theorem for the mappings with weak homeomorphic Lipschitz boundary data and Dini's smooth boundary but without restriction on the convexity of image domain, provided that the Jacobian satisfies a certain boundary condition. The proof is based on a recent extension of Rado-Choquet-Kneser theorem by Alessandrini and Nesi \cite{ale} and it is used the approximation principle.
Keywords
Cite
@article{arxiv.1503.01605,
title = {Invertible harmonic mappings of unit disk onto Dini smooth Jordan domains},
author = {David Kalaj},
journal= {arXiv preprint arXiv:1503.01605},
year = {2015}
}
Comments
9 pages. arXiv admin note: substantial text overlap with arXiv:1003.2740