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

Data:	2022
Resum:	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.
Drets:	Tots els drets reservats.
Llengua:	Anglès
Document:	Article ; recerca ; Versió publicada
Matèria:	Quasiconformal maps ; Conformal modulus ; Quasiconformal folding ; Pompeiu's formula ; Holomorphic dynamics
Publicat a:	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 registre apareix a les col·leccions:
Articles > Articles publicats > Publicacions matemàtiques
Articles > Articles de recerca