Stretching multifractal spectra and area compression of homeomorphisms with integrable distortion in higher dimensions
Metric Geometry
2018-06-04 v1 Complex Variables
Abstract
We consider homeomorphisms with integrable distortion in higher dimensions and sharpen the previous bound for area compression, which was presented by Clop and Herron. Our method relies on developing sharp bounds for the stretching multifractal spectra of these mappings.
Keywords
Cite
@article{arxiv.1806.00086,
title = {Stretching multifractal spectra and area compression of homeomorphisms with integrable distortion in higher dimensions},
author = {Lauri Hitruhin},
journal= {arXiv preprint arXiv:1806.00086},
year = {2018}
}