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

Fecha:	2022
Resumen:	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.
Nota:	The author is partially supported by NSF grant DMS 1906259.
Derechos:	Tots els drets reservats.
Lengua:	Anglès
Documento:	Article ; recerca ; Versió publicada
Materia:	Quasiconformal maps ; Conformal modulus ; Quasiconformal folding ; Pompeiu's formula ; Holomorphic dynamics
Publicado en:	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

El registro aparece en las colecciones:
Artículos > Artículos publicados > Publicacions matemàtiques
Artículos > Artículos de investigación