Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted Estimates for the iterated Commutators of Multilinear Maximal
  and Fractional Type Operators   In this paper, the following iterated commutators $T_{*,\Pi b}$ of maximal
operator for multilinear singular integral operators and $I_{\alpha, \Pi b}$ of
multilinear fractional integral operator are introduced and studied $$\aligned
T_{*,\Pi
b}(\vec{f})(x)&=\sup_{\delta>0}\bigg|[b_1,[b_2,...[b_{m-1},[b_m,T_\delta]_m]_{m-1}...]_2]_1
(\vec{f})(x)\bigg|,$$ $$\aligned I_{\alpha, \Pi
b}(\vec{f})(x)&=[b_1,[b_2,...[b_{m-1},[b_m,I_\alpha]_m]_{m-1}...]_2]_1
(\vec{f})(x),$$ where $T_\delta$ are the smooth truncations of the multilinear
singular integral operators and $I_{\alpha}$ is the multilinear fractional
integral operator, $b_i\in BMO$ for $i=1,...,m$ and $\vec {f}=(f_1,...,f_m)$.
Weighted strong and $L(\log L)$ type end-point estimates for the above iterated
commutators associated with two class of multiple weights $A_{\vec{p}}$ and
$A_{(\vec{p}, q)}$ are obtained, respectively.

23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph