The boundary absolute continuity of quasiconformal mappings 2
- Autores: J. Heinonen
- Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 12, Nº 3, 1996, págs. 697-726
- Idioma: inglés
- DOI: 10.4171/rmi/212
- Títulos paralelos:
- La continuidad absoluta de frontera de los mapeos cuasiconformes (II).
- Enlaces
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Resumen
In this paper a quite complete picture is given of the absolute continuity on the boundary of a quasiconformal map B3 ® D, where B3 is the unit 3-ball and D is a Jordan domain in R3 with boundary 2-rectifiable in the sense of geometric measure theory. Moreover, examples are constructed, for each n = 3, showing that quasiconformal maps from the unit n-ball onto Jordan domains with boundary (n - 1)-rectifiable need not have absolutely continuous boundary values.
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