Quasisymmetric distortion spectrum
Complex Variables
2011-10-25 v1
Abstract
We give improved bounds for the distortion of the Hausdorff dimension under quasisymmetric maps in terms of the dilatation of their quasiconformal extension. The sharpness of the estimates remains an open question and is shown to be closely related to the fine structure of harmonic measure.
Cite
@article{arxiv.0910.4723,
title = {Quasisymmetric distortion spectrum},
author = {István Prause and Stanislav Smirnov},
journal= {arXiv preprint arXiv:0910.4723},
year = {2011}
}
Comments
14 pages