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arXiv · 2010.09020

Inequalities for the derivatives of the Radon transform on convex bodies

Wyatt Gregory·Alexander Koldobsky
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Abstract

It has been proved that the sup-norm of the Radon transform of an arbitrary probability density on an origin-symmetric convex body of volume 1 is bounded from below by a positive constant depending only on the dimension. In this note we extend this result to the derivatives of the Radon transform. We also prove a comparison theorem for these derivatives.

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BibTeXRIS

Wyatt Gregory, Alexander Koldobsky. 2020-10-18. Inequalities for the derivatives of the Radon transform on convex bodies. https://arxiv.org/abs/2010.09020

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