The estimation of the area of a disk image for Sobolev classes
Complex Variables
2016-04-27 v1
Abstract
For regular homeomorphisms of Sobolev class having the Luzin -property, it is established the estimation of the area of a disk image in terms of an angular dilatation. As a corollary, the analog of the well-known Ikoma-Schwartz lemma for such mappings is obtained.
Keywords
Cite
@article{arxiv.1604.07618,
title = {The estimation of the area of a disk image for Sobolev classes},
author = {V. Bilet and R. Salimov},
journal= {arXiv preprint arXiv:1604.07618},
year = {2016}
}
Comments
6 pages, in Russian