Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The A_2 theorem with the Dini condition   Let $T$ be an $L^2$-bounded operator having an $\omega$-Calder\'on--Zygmund
kernel $K$ with a modulus of continuity $\omega$. If $\omega$ satisfied the
Dini condition $\int_0^1\omega(t)\ud t/t<\infty$, then $T$ satisfies the $A_2$
theorem $$
  \Norm{Tf}{L^2(w)}\lesssim [w]_{A_2}\Norm{f}{L^2(w)} $$ and many related
estimates, as a consequence of a domination by dyadic operators.

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The categories of this paper are: q-bio
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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: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: adap-org
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an