Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restricted boundedness of translation operators on variable Lebesgue
  spaces   In this paper, we investigate the inequality \begin{equation*} \left\Vert
f(\cdot +h)\right\Vert_{p\left( \cdot \right) }\leq A\left\Vert
f\right\Vert_{p\left( \cdot \right) },\quad h\in \mathbb{R}^{n}, A>0
\end{equation*} under some suitable assumptions on the function $f$ and the
variable exponent $p$.

19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat