English

Loewner chains with complex leading coefficient

Complex Variables 2010-10-11 v3 Classical Analysis and ODEs

Abstract

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.

Cite

@article{arxiv.0910.4850,
  title  = {Loewner chains with complex leading coefficient},
  author = {Ikkei Hotta},
  journal= {arXiv preprint arXiv:0910.4850},
  year   = {2010}
}

Comments

9 pages

R2 v1 2026-06-21T14:03:16.747Z