Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Brennan's conjecture for composition operators on Sobolev spaces   We show that Brennan's conjecture is equivalent to boundedness of composition
operators on homogeneous Sobolev spaces generated by conformal homeomorphisms
of simply connected plane domains to the unit disc.

26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin