Bilipschitz and quasiconformal rotation, stretching and multifractal spectra
Complex Variables
2015-08-24 v2 Classical Analysis and ODEs
Abstract
We establish sharp bounds for simultaneous local rotation and H\"older-distortion of planar quasiconformal maps. In addition, we give sharp estimates for the corresponding joint quasiconformal multifractal spectrum, based on new estimates for Burkholder functionals with complex parameters. As a consequence, we obtain optimal rotation estimates also for bi-Lipschitz maps.
Keywords
Cite
@article{arxiv.1303.2325,
title = {Bilipschitz and quasiconformal rotation, stretching and multifractal spectra},
author = {Kari Astala and Tadeusz Iwaniec and István Prause and Eero Saksman},
journal= {arXiv preprint arXiv:1303.2325},
year = {2015}
}
Comments
Corrected typos, minor edits