Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discrepancy of second order digital sequences in function spaces with
  dominating mixed smoothness   The discrepancy function measures the deviation of the empirical distribution
of a point set in $[0,1]^d$ from the uniform distribution. In this paper, we
study the classical discrepancy function with respect to the BMO and
exponential Orlicz norms, as well as Sobolev, Besov and Triebel-Lizorkin norms
with dominating mixed smoothness. We give sharp bounds for the discrepancy
function under such norms with respect to infinite sequences.

28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex