Quasiconformal maps with thin dilatations
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...
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universitat Autònoma de Barcelona |
| Repositorio: | Dipòsit Digital de Documents de la UAB |
| Idioma: | inglés |
| OAI Identifier: | oai:ddd.uab.cat:264562 |
| Acceso en línea: | https://ddd.uab.cat/record/264562 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6622207 |
| Access Level: | acceso abierto |
| Palabra clave: | Quasiconformal maps Conformal modulus Quasiconformal folding Pompeiu's formula Holomorphic dynamics |
| Sumario: | 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. |
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