Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Weighted endpoint bounds for the Bergman and Cauchy-Szeg\H{o}
  projections on domains with near minimal smoothness   We study the Bergman projection, $\mathcal{B}$, and the Cauchy-Szeg\H{o}
projection, $\mathcal{S}$, on bounded domains with near minimal smoothness. We
prove that $\mathcal{B}$ has the weak-type $(1,1)$ property with respect to
weighted measures assuming that the underlying domain is strongly pseudoconvex
with $C^4$ boundary and the weight satisfies the $B_1$ condition, and the same
property for $\mathcal{S}$ on domains with $C^3$ boundaries and weights
satisfying the $A_1$ condition. We also obtain weighted Kolmogorov and weighted
Zygmund inequalities for $\mathcal{B}$ and $\mathcal{S}$ in their respective
settings as corollaries.

15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
10
The categories of this paper are: q-bio
16
The categories of this paper are: stat
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom