Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal polynomial modulations of singular integrals   Let $K$ be a standard H\"older continuous Calder\'on--Zygmund kernel on
$\mathbb{R}^{\mathbf{d}}$ whose truncations define $L^2$ bounded operators. We
show that the maximal operator obtained by modulating $K$ by polynomial phases
of a fixed degree is bounded on $L^p(\mathbb{R}^{\mathbf{d}})$ for $1 < p <
\infty$. This extends Sj\"olin's multidimensional Carleson theorem and Lie's
polynomial Carleson theorem.

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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: hep-lat
0
The categories of this paper are: hep-ph