# The boundary absolute continuity of quasiconformal mappings (II).

Revista Matemática Iberoamericana (1996)

- Volume: 12, Issue: 3, page 697-725
- ISSN: 0213-2230

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topHeinonen, Juha. "The boundary absolute continuity of quasiconformal mappings (II).." Revista Matemática Iberoamericana 12.3 (1996): 697-725. <http://eudml.org/doc/39521>.

@article{Heinonen1996,

abstract = {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.},

author = {Heinonen, Juha},

journal = {Revista Matemática Iberoamericana},

keywords = {Aplicaciones cuasiconformes; Teoría de la medida; Distancia de Hausdorff; Problema de contorno; Continuidad; Simetría; quasiconformal maps; distortion theorems},

language = {eng},

number = {3},

pages = {697-725},

title = {The boundary absolute continuity of quasiconformal mappings (II).},

url = {http://eudml.org/doc/39521},

volume = {12},

year = {1996},

}

TY - JOUR

AU - Heinonen, Juha

TI - The boundary absolute continuity of quasiconformal mappings (II).

JO - Revista Matemática Iberoamericana

PY - 1996

VL - 12

IS - 3

SP - 697

EP - 725

AB - 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.

LA - eng

KW - Aplicaciones cuasiconformes; Teoría de la medida; Distancia de Hausdorff; Problema de contorno; Continuidad; Simetría; quasiconformal maps; distortion theorems

UR - http://eudml.org/doc/39521

ER -

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