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arXiv · 1609.06619

Some remarks on the Lipschitz regularity of Radon transforms

Jonas Azzam·Jonathan Hickman·Sean Li
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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.

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Jonas Azzam, Jonathan Hickman, Sean Li. 2016-09-21. Some remarks on the Lipschitz regularity of Radon transforms. https://arxiv.org/abs/1609.06619

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