Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Commutators of certain fractional type operators with H\"ormander
  conditions, one-weighted and two-weighted inequalities   In this paper we study the commutators of fractional type integral operators.
This operators are given by kernels of theform
$$K(x,y)=k_1(x-A_1y)k_2(x-A_2y)\dots k_m(x-A_my),$$ where $A_i$ are invertibles
matrices and each $k_i$ satisfies a fractional size condition and generalized
fractional H\"ormander condition. We obtain weighted Coifman estimates,
weighted $L^p(w^p)$ - $L^q(w^q)$ estimates and weighted BMO estimates. We also
give a two weight strong estimate for pair of weights of the form $(u,Su)$
where $u$ is an arbitrary non-negative function and $S$ is a maximal operator
depending on the smoothness of the kernel $K$. For the singular case we also
give a two-weighted endpoint estimate.

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The categories of this paper are: supr-con
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom