Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sarason Conjecture on the Bergman space   We provide a counterexample to the Sarason Conjecture for the Bergman space
and present a characterisation of bounded Toeplitz products on the Bergman
space in terms of test functions by means of a dyadic model approach. We also
present some results about two-weighted estimates for the Bergman projection.
Finally, we introduce the class $B_{\infty}$ and give sharp estimates for the
one-weighted Bergman projection.

25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph