Dimension compression and expansion under homeomorphisms with exponentially integrable distortion
Complex Variables
2022-03-25 v1
Abstract
We improve both dimension compression and expansion bounds for homeomorphisms with -exponentially integrable distortion. To the first direction we also introduce estimates for the compression multifractal spectra, which will be used to estimate compression of dimension, and for the rotational multifractal spectra. For establishing the expansion case we use the multifractal spectra of the inverse mapping and construct examples proving sharpness.
Cite
@article{arxiv.2203.12890,
title = {Dimension compression and expansion under homeomorphisms with exponentially integrable distortion},
author = {Lauri Hitruhin},
journal= {arXiv preprint arXiv:2203.12890},
year = {2022}
}