Extremizers of a Radon transform inequality
Classical Analysis and ODEs
2011-06-06 v1
Abstract
The Radon transform is a bounded operator from L^p of Euclidean space R^d to L^q of the Grassmann manifold of all affine hyperplanes in R^d, for certain exponents. We identify all extremizers of the associated inequality for the endpoint case p=(d+1)/d and q=d+1.
Keywords
Cite
@article{arxiv.1106.0719,
title = {Extremizers of a Radon transform inequality},
author = {Michael Christ},
journal= {arXiv preprint arXiv:1106.0719},
year = {2011}
}