Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Capacities associated with Calder\'on-Zygmund kernels   Analytic capacity is associated with the Cauchy kernel $1/z$ and the
$L^\infty$-norm. For $n\in\mathbb{N}$, one has likewise capacities related to
the kernels $K_i(x)=x_i^{2n-1}/|x|^{2n}$, $1\le i\le 2$,
$x=(x_1,x_2)\in\mathbb{R}^2$. The main result of this paper states that the
capacities associated with the vectorial kernel $(K_1, K_2)$ are comparable to
analytic capacity.

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The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga