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.
Cite this article
Christopher J. Bishop, Quasiconformal mappings of -pieces. Rev. Mat. Iberoam. 18 (2002), no. 3, pp. 627–652DOI 10.4171/RMI/330