Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A second alternative approach for the study of the Muckenhoupt class
  $A_1(\mathbb{R})$   We find the exact best possible range of those $p > 1$ for which any function
which belongs to $A_1(\mathbb{R})$, with $A_1$-constant equal to $c$, must also
belong to $L^p$. In this way we provide alternative proofs of the results in
[2] and [10].

1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph