Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal function and Carleson measures in B\'ekoll\'e-Bonami weights   Let $\omega$ be a B\'ekoll\'e-Bonami weight. We give a complete
characterization of the positive measures $\mu$ such that $$\int_{\mathcal
H}|M_\omega f(z)|^qd\mu(z)\le C\left(\int_{\mathcal
H}|f(z)|^p\omega(z)dV(z)\right)^{q/p}$$ and $$\mu\left(\{z\in \mathcal H:
Mf(z)>\lambda\}\right)\le \frac{C}{\lambda^q}\left(\int_{\mathcal
H}|f(z)|^p\omega(z)dV(z)\right)^{q/p}$$ where $M_\omega$ is the weighted
Hardy-Littlewood maximal function on the upper-half plane $\mathcal H$, and
$1\le p,q<\infty$.

36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
20
The categories of this paper are: acc-phys
19
The categories of this paper are: eess
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th