Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the boundedness of singular integrals in Morrey spaces and its
  preduals   We reduce the boundedness of operators in Morrey spaces $L_p^r({\mathbb
R}^n)$, its preduals, $H^{\varrho}L_p ({\mathbb R}^n)$, and their preduals
$\overset{\circ}{L}{}^r_p({\mathbb R}^n)$ to the boundedness of the appropriate
operators in Lebesgue spaces, $L_p({\mathbb R}^n)$. Hereby, we need a weak
condition with respect to the operators which is satisfied for a large set of
classical operators of harmonic analysis including singular integral operators
and the Hardy-Littlewood maximal function. The given vector-valued
consideration of these issues is a key ingredient for various applications in
harmonic analysis.

28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an