Quasiconformal mappings of Y-pieces

Autores: Christopher J. Bishop
Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 18, Nº 3, 2002, págs. 627-652
Idioma: inglés
DOI: 10.4171/rmi/330
Títulos paralelos:
- Aplicaciones cuasiconformes entre trozos en forma de Y
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Resumen
- In this paper we construct quasiconformal mappings between Y-pieces so that the corresponding Beltrami coefficient has exponential decay away from the boundary. These maps are used in a companion paper to construct quasiFuchsian groups whose limit sets are non-rectifiable curves of dimension 1.