Inequalities for the Derivatives of the Radon Transform on Convex Bodies

Abstract: It has been shown that the sup-norm of the Radon transform of a probability density defined on an origin-symmetric convex body of volume 1 is bounded from below by a positive constant that depends only on the dimension. Using Fourier analysis, we extend this estimate to the derivatives of the Radon transform. We also provide a comparison theorem for these derivatives.

analysis of PDEsmetric geometryprobability

Audience: researchers in the topic

Online asymptotic geometric analysis seminar

Series comments: The link: technion.zoom.us/j/99202255210

If you are interested in giving a talk, please let one of the organizers know. Also, please suggest speakers which you would like to hear talk. Most talks are 50 minutes, but some 20-minute talks will be paired up as well. The talks will be video recorded conditioned upon the speakers' agreement.