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.
@article{1051544321,
author = {Bishop, Christopher J.},
title = {Quasiconformal mappings of Y-pieces},
journal = {Rev. Mat. Iberoamericana},
volume = {18},
number = {1},
year = {2002},
pages = { 627-652},
language = {en},
url = {http://dml.mathdoc.fr/item/1051544321}
}
Bishop, Christopher J. Quasiconformal mappings of Y-pieces. Rev. Mat. Iberoamericana, Tome 18 (2002) no. 1, pp. 627-652. http://gdmltest.u-ga.fr/item/1051544321/