On extremizers of certain inequalities for the k-plane transform

Add to your list(s) Download to your calendar using vCal

• Taryn C. Flock (University of Birmingham)
• Monday 06 October 2014, 16:00-17:00
• Mechanical Engineering G26.

If you have a question about this talk, please contact José Cañizo.

The Radon transform is an integral transform with applications in mathematics, tomography, and medicine. The k-plane transform is an integral transform that maps a function to its integrals over all k-dimensional planes. When k=n-1, the k-plane transform and the Radon transform coincide.

The k-plane transform is a bounded operator from L^p of Euclidean space to L^q of the Grassman manifold of all affine k-planes for certain values of q and p. Extremizers have been determined in a few cases, but most remain open. In this talk, we will focus on showing that, in the endpoint case q=n+1, extremizers are unique. Rearrangement inequalities will be a key tool.

This talk is part of the Analysis seminar series.

This talk is included in these lists:

• Analysis seminar
• Mechanical Engineering G26
• School of Mathematics events

Note that ex-directory lists are not shown.