Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A solution operator for $\bar\partial$ on the Hartogs triangle and $L^p$
  estimates   An integral solution operator for $\bar\partial$ is constructed on product
domains that include the punctured bidisc. This operator is shown to satisfy
$L^p$ estimates for all $1\leq p <\infty$, though with non-standard -- relative
to strongly pseudoconvex domains -- bounding term. These estimates imply $L^p$
estimates for $\bar\partial$ on the Hartogs triangle, with greater range of $p$
than the canonical solution satisfies.

36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat