Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weak-type estimates for the Bergman projection on the polydisc and the
  Hartogs triangle   In this paper, we investigate the weak-type regularity of the Bergman
projection. The two domains we focus on are the polydisc and the Hartogs
triangle. For the polydisc we provide a proof that the weak-type behavior is of
"$L\log L$" type. This result is likely known to the experts, but does not
appear to be in the literature. For the Hartogs triangle we show that the
operator is of weak-type $(4,4)$; settling the question of the behavior of the
projection at this endpoint. At the other endpoint of interest, we show that
the Bergman projection is not of weak-type $(\frac{4}{3}, \frac{4}{3})$ and
provide evidence as to what the correct behavior at this endpoint might be.

32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an