Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Astala's conjecture from the point of view of singular integrals on
  metric spaces   In the proof of Astala's conjecture on quasiconformal distortion obtained by
Lacey--Sawyer--Uriarte-Tuero one of the key point is an estimate of the
Ahlfors--Beurling operator in a certain weighted space. We show that the point
of view of non-homogeneous Harmonic Analysis simplifies considerably this key
point.

13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
11
The categories of this paper are: hep-lat
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics