Weighted norm inequalities for k-plane transforms
Functional Analysis
2012-07-24 v1
Abstract
We obtain sharp inequalities for the k-plane transform, the "j-plane to k-plane" transform, and the corresponding dual transforms, acting on spaces with a radial power weight. The operator norms are explicitly evaluated. Some generalizations and open problems are discussed.
Cite
@article{arxiv.1207.5180,
title = {Weighted norm inequalities for k-plane transforms},
author = {Boris Rubin},
journal= {arXiv preprint arXiv:1207.5180},
year = {2012}
}
Comments
16 pages