Heisenberg Hausdorff dimension of Besicovitch sets
Metric Geometry
2017-03-13 v1 Classical Analysis and ODEs
Abstract
We consider (bounded) Besicovitch sets in the Heisenberg group and prove that estimates for the Kakeya maximal function imply lower bounds for their Heisenberg Hausdorff dimension.
Keywords
Cite
@article{arxiv.1406.1306,
title = {Heisenberg Hausdorff dimension of Besicovitch sets},
author = {Laura Venieri},
journal= {arXiv preprint arXiv:1406.1306},
year = {2017}
}