2009/10/26 by Ikkei Hotta, Hotta, Ikkei
Mathematics · #30C45 #30C55 #30C62 #30C80 #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #math.CA #math.CV #msc:30C45 #msc:30C55 #msc:30C62 #msc:30C80
paper · pdf · doi:10.48550/arxiv.0910.4850
9 pages
arxiv created 2010/10/08 · arxiv updated 2010/10/11
In this paper we confirm that several crucial theorems due to Pommerenke and Becker for the theory of Loewner chains work well without normalization on the complex-valued first coefficient. As applications of those considerations, some new univalent and quasiconformal extension criteria are given in the last section.