Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings
Classical Analysis and ODEs
2010-07-14 v1
Abstract
We investigate how the integrability of the derivatives of Orlicz-Sobolev mappings defined on open subsets of affect the sizes of the images of sets of Hausdorff dimension less than . We measure the sizes of the image sets in terms of generalized Hausdorff measures.
Cite
@article{arxiv.1007.2091,
title = {Generalized Hausdorff dimension distortion in Euclidean spaces under Sobolev mappings},
author = {Tapio Rajala and Aleksandra Zapadinskaya and Thomas Zürcher},
journal= {arXiv preprint arXiv:1007.2091},
year = {2010}
}