Restriction theorems for Hankel operators
Functional Analysis
2018-10-02 v1 Spectral Theory
Abstract
We consider a class of maps from integral Hankel operators to Hankel matrices, which we call restriction maps. In the simplest case, such a map is simply a restriction of the integral kernel onto integers. More generally, it is given by an averaging of the kernel with a sufficiently regular weight function. We study the boundedness of restriction maps with respect to the operator norm and the Schatten norms.
Cite
@article{arxiv.1810.00600,
title = {Restriction theorems for Hankel operators},
author = {Nazar Miheisi and Alexander Pushnitski},
journal= {arXiv preprint arXiv:1810.00600},
year = {2018}
}