Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Estimates for compositions of maximal operators with singular integrals   We prove weak-type (1,1) estimates for compositions of maximal operators with
singular integrals. Our main object of interest is the operator $\Delta^*\Psi$
where $\Delta^*$ is Bourgain's maximal multiplier operator and $\Psi$ is the
sum of several modulated singular integrals; here our method yields a
significantly improved bound for the $L^q$ operator norm when $1 < q < 2$. We
also consider associated variation-norm estimates.

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The categories of this paper are: math-ph
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The categories of this paper are: stat
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The categories of this paper are: adap-org
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-ex