Charatheodory and Smirnov type theorem for harmonic mappings
Complex Variables
2012-05-07 v3 Differential Geometry
Abstract
We prove a version of Smirnov type theorem and Charatheodory type theorem for a harmonic homeomorphism of the unit disk onto a Jordan surface with rectifiable boundary. Further we establish the classical isoperimetric inequality and Riesz--Zygmund inequality for Jordan harmonic surfaces without any smoothness assumptions of the boundary.
Keywords
Cite
@article{arxiv.1105.0273,
title = {Charatheodory and Smirnov type theorem for harmonic mappings},
author = {David Kalaj and Marijan Markovic and Miodrag Mateljevic},
journal= {arXiv preprint arXiv:1105.0273},
year = {2012}
}
Comments
This manuscript contains substantial difference with the previous submission