Some remarks on the Lipschitz regularity of Radon transforms
Classical Analysis and ODEs
2016-09-22 v1
Abstract
A set in the Euclidean plane is constructed whose image under the classical Radon transform is Lipschitz in every direction. It is also shown that, under mild hypotheses, for any such set the function which maps a direction to the corresponding Lipschitz constant cannot be bounded.
Cite
@article{arxiv.1609.06619,
title = {Some remarks on the Lipschitz regularity of Radon transforms},
author = {Jonas Azzam and Jonathan Hickman and Sean Li},
journal= {arXiv preprint arXiv:1609.06619},
year = {2016}
}
Comments
6 pages, 1 figure