Quasiconformal maps with thin dilatations
Bishop, Christopher J. (Stony Brook University. Mathematics Department)

Date:	2022
Abstract:	We give an estimate that quantifies the fact that a normalized quasiconformal map whose dilatation is non-zero only on a set of small area approximates the identity uniformly on the whole plane. The precise statement is motivated by applications of the author's quasiconformal folding method for constructing entire functions; in particular an application to constructing transcendental wandering domains given by Fagella, Godillon, and Jarque.
Note:	The author is partially supported by NSF grant DMS 1906259.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Quasiconformal maps ; Conformal modulus ; Quasiconformal folding ; Pompeiu's formula ; Holomorphic dynamics
Published in:	Publicacions matemàtiques, Vol. 66 Núm. 2 (2022) , p. 715-727 (Articles) , ISSN 2014-4350

Adreça original: https://raco.cat/index.php/PublicacionsMatematiques/article/view/402241
DOI: 10.5565/PUBLMAT6622207

13 p, 298.8 KB

The record appears in these collections:
Articles > Published articles > Publicacions matemàtiques
Articles > Research articles