Some remarks on the Lipschitz regularity of Radon transforms

Jonas Azzam; Sean Li; Jonathan Hickman

doi:10.1090/proc/14083

Some remarks on the Lipschitz regularity of Radon transforms

Jonas Azzam, Sean Li, Jonathan Hickman

School of Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	4331-4337
Number of pages	6
Journal	Proceedings of the american mathematical society
Volume	146
Issue number	10
Early online date	4 May 2018
DOIs	https://doi.org/10.1090/proc/14083
Publication status	Published - Oct 2018

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Some remarks on the Lipschitz regularity of Radon transforms

Abstract

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