Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Interpolation properties of certain classes of net spaces   The paper studies the interpolation properties of net spaces $N_{p,q}(M)$,
when $M$ is the set of dyadic cubes in $\mathbb{R}^n$, and also when $M$ is the
family of all cubes with parallel faces to the coordinate axes in
$\mathbb{R}^n$. It is shown that, in the case when $M$ is the set of dyadic
cubes the scale of spaces is closed with respect to the real interpolation
method. In the case, when $M$ is the set of all cubes with parallel faces to
the coordinate axes, an analogue of the Marcinkiewicz-Calderon theorem on cones
of non-negative functions is given.

32
The categories of this paper are: atom-ph
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th