Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sharp weighted estimates for multi-frequency Calder\'on-Zygmund
  operators   In this paper we study weighted estimates for the multi-frequency
$\omega-$Calder\'{o}n-Zygmund operators $T$ associated with the frequency set
$\Theta=\{\xi_1,\xi_2,\dots,\xi_N\}$ and modulus of continuity $\omega$
satisfying the usual Dini condition. We use the modern method of domination by
sparse operators and obtain bounds $\|T\|_{L^p(w)\rightarrow L^p(w)}\lesssim
N^{|\frac{1}{r}-\frac{1}{2}|}[w]_{\mathbb{A}_{p/r}}^{max(1,\frac{1}{p-r})},~1\leq
r<p<\infty,$ for the exponents of $N$ and $\mathbb{A}_{p/r}$ characteristic
$[w]_{\mathbb{A}_{p/r}}$.

17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int