@article{44a564bf69d149b68465ff792090a507,
title = "Quasiconformal maps of bordered Riemann surfaces with L2 Beltrami differentials",
abstract = "Let Σ be a Riemann surface of genus g bordered by n curves homeomorphic to the circle S1. Consider quasiconformal maps f: Σ→Σ1 such that the restriction to each boundary curve is a Weil-Petersson class quasisymmetry. We show that any such f is homotopic to a quasiconformal map whose Beltrami differential is L2 with respect to the hyperbolic metric on Σ. The homotopy H(t, •): Σ → Σ1 is independent of t on the boundary curves; that is, H(t, p) = f(p) for all p ∈ ∂Σ.",
author = "David Radnell and Eric Schippers and Wolfgang Staubach",
year = "2017",
month = "6",
day = "29",
doi = "10.1007/s11854-017-0020-9",
language = "English",
volume = "132",
pages = "229--245",
journal = "JOURNAL D ANALYSE MATHEMATIQUE",
issn = "0021-7670",
publisher = "Springer New York",
number = "1",
}