Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted vector-valued bounds for a class of multilinear singular
  integral operators   In this paper, we investigate the weighted vector-valued bounds for a class
of multilinear singular integral operators, and its commutators, from
$L^{p_1}(l^{q_1};\,\mathbb{R}^n,w_1)\times\dots\times
L^{p_m}(l^{q_m};\,\mathbb{R}^n,w_m)$ to
$L^{p}(l^q;\,\mathbb{R}^n,\nu_{\vec{w}})$, with $p_1,\dots,p_m\in (1,\,\infty)$
and $1/p=1/p_1+\dots+1/p_m$ and $\vec{w}$ is a multiple $A_{\vec{P}}$ weights.
Our argument also leads to the weighted weak type endpoint estimates for the
commutators.

22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph