Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Products on Schatten-von Neumann classes and modulation spaces   We consider modulation space and spaces of Schatten-von Neumann symbols where
corresponding pseudo-differential operators map one Hilbert space to another.
We prove H\"older-Young and Young type results for such spaces under dilated
convolutions and multiplications. We also prove continuity properties for such
spaces under the twisted convolution, and the Weyl product. These results lead
to continuity properties for twisted convolutions on Lebesgue spaces, e.{}g.
$L^p_{(\omega)}$ is a twisted convolution algebra when $1\le p\le 2$ and
appropriate weight $\omega$.

5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph