Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some notes on the vector-valued extension of Littlewood--Paley--Rubio de
  Francia inequality for Walsh functions   J. L. Rubio de Francia proved the one-sided Littlewood--Paley inequality for
arbitrary intervals in $L^p$, $2\le p<\infty$ and later N. N. Osipov proved the
similar inequality for Walsh functions. In this paper we investigate some
properties of Banach spaces $X$ such that the latter inequality holds for
$X$-valued functions.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph