Loewner theory for quasiconformal extensions: old and new
Complex Variables
2019-01-10 v5
Abstract
This survey article gives an account of quasiconformal extensions of univalent functions with its motivational background from Teichm\"uller theory and classical and modern approaches based on Loewner theory.
Cite
@article{arxiv.1402.6006,
title = {Loewner theory for quasiconformal extensions: old and new},
author = {Ikkei Hotta},
journal= {arXiv preprint arXiv:1402.6006},
year = {2019}
}
Comments
25 pages, 3 figs. This paper will be included in the proceedings of the 2nd GSIS-RCPAM International Symposium "Geometric Function Theory and Applications in Sendai" which was held in Tohoku University on September 10th-13th, 2013