On extremals for a Radon-like transform
Classical Analysis and ODEs
2011-06-06 v1
Abstract
Convolution with an appropriate surface measure on a paraboloid in R^d defines a bounded operator T from L^p(R^d) to L^q(R^d) for certain exponents p,q. In this article it is proved that there exist functions which extremize the associated inequality.
Cite
@article{arxiv.1106.0728,
title = {On extremals for a Radon-like transform},
author = {Michael Christ},
journal= {arXiv preprint arXiv:1106.0728},
year = {2011}
}