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arXiv · 1810.00600

Restriction theorems for Hankel operators

Nazar Miheisi·Alexander Pushnitski
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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.

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Nazar Miheisi, Alexander Pushnitski. 2018-10-01. Restriction theorems for Hankel operators. https://arxiv.org/abs/1810.00600

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