A one-dimensional planar Besicovitch-type set
Classical Analysis and ODEs
2024-12-17 v1
Abstract
A -Besicovitch set is a set which contains a rotated copy of in every direction. Our main result is the construction of a non-trivial -rectifiable set in the plane, for which there exists a 1-dimensional -Besicovitch set.
Cite
@article{arxiv.2412.11190,
title = {A one-dimensional planar Besicovitch-type set},
author = {Iqra Altaf},
journal= {arXiv preprint arXiv:2412.11190},
year = {2024}
}
Comments
16 pages, 2 figures