Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Real-Variable Characterizations of New Anisotropic Mixed-Norm Hardy
  Spaces   Let $\vec{p}\in(0,\infty)^n$ and $A$ be a general expansive matrix on
$\mathbb{R}^n$. In this article, via the non-tangential grand maximal function,
the authors first introduce the anisotropic mixed-norm Hardy spaces
$H_A^{\vec{p}}(\mathbb{R}^n)$ associated with $A$ and then establish their
radial or non-tangential maximal function characterizations. Moreover, the
authors characterize $H_A^{\vec{p}}(\mathbb{R}^n)$, respectively, by means of
atoms, finite atoms, Lusin area functions, Littlewood-Paley $g$-functions or
$g_{\lambda}^\ast$-functions via first establishing an anisotropic
Fefferman-Stein vector-valued inequality on the mixed-norm Lebesgue space
$L^{\vec{p}}(\mathbb{R}^n)$. In addition, the authors also obtain the duality
between $H_A^{\vec{p}}(\mathbb{R}^n)$ and the anisotropic mixed-norm Campanato
spaces. As applications, the authors establish a criterion on the boundedness
of sublinear operators from $H_A^{\vec{p}}(\mathbb{R}^n)$ into a quasi-Banach
space. Applying this criterion, the authors then obtain the boundedness of
anisotropic convolutional $\delta$-type and non-convolutional $\beta$-order
Calder\'{o}n-Zygmund operators from $H_A^{\vec{p}}(\mathbb{R}^n)$ to itself [or
to $L^{\vec{p}}(\mathbb{R}^n)$]. As a corollary, the boundedness of anisotropic
convolutional $\delta$-type Calder\'on-Zygmund operators on the mixed-norm
Lebesgue space $L^{\vec{p}}(\mathbb{R}^n)$ with $\vec{p}\in(1,\infty)^n$ is
also presented.

33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph