Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Leray transform: factorization, dual $CR$ structures and model
  hypersurfaces in $\mathbb{C}\mathbb{P}^2$   We compute the exact norms of the Leray transforms for a family
$\mathcal{S}_{\beta}$ of unbounded hypersurfaces in two complex dimensions. The
$\mathcal{S}_{\beta}$ generalize the Heisenberg group, and provide local
projective approximations to any smooth, strongly $\mathbb{C}$-convex
hypersurface $\mathcal{S}_{\beta}$ to two orders of tangency. This work is then
examined in the context of projective dual $CR$-structures and the
corresponding pair of canonical dual Hardy spaces associated to
$\mathcal{S}_{\beta}$, leading to a universal description of the Leray
transform and a factorization of the transform through orthogonal projection
onto the conjugate dual Hardy space.

27
The categories of this paper are: comp-gas
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess