Restricted Radon transforms and projections of planar sets
Classical Analysis and ODEs
2019-08-15 v1
Abstract
We establish a mixed norm estimate for the Radon transform in the plane when the set of directions has fractional dimension. This estimate is used to prove a result about an exceptional set of directions connected with projections of planar sets. That leads to a conjecture analogous to a well-known conjecture of Furstenberg.
Cite
@article{arxiv.0805.1678,
title = {Restricted Radon transforms and projections of planar sets},
author = {Daniel M. Oberlin},
journal= {arXiv preprint arXiv:0805.1678},
year = {2019}
}
Comments
6 pages