Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The necessity theory for commutators of multilinear singular integral
  operators: the weighted case   In this paper, the necessity theory for commutators of multilinear singular
integral operators on weighted Lebesgue spaces is investigated. The results
relax the restriction of the weights class to the general multiple weights,
which can be regarded as an essential improvement of
\cite{ChafCruz2018,GLW2020}. Our approach elaborates on a commonly expanding
the kernel locally by Fourier series, recovering many known results but
yielding also numerous new ones. In particular, we answer the question about
the necessity theory of the iterated commutators of the multilinear singular
integral operators.

3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
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The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
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The categories of this paper are: supr-con
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The categories of this paper are: nucl-ex
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The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
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The categories of this paper are: stat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs