Restriction theorems for Hankel operators
Tom 254 / 2020
Studia Mathematica 254 (2020), 1-21 MSC: 47B35, 47B10. DOI: 10.4064/sm181109-2-7 Opublikowany online: 6 March 2020
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 the restriction of the integral kernel to the 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.