Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the equivalence between weak BMO and the space of derivatives of the
  Zygmund class   In this paper, we will discuss the space of functions of weak bounded mean
oscillation. In particular, we will show that this space is the dual space of
the special atom space, whose dual space was already known to be the space of
derivative of functions (in the sense of distribution) belonging to the Zygmund
class of functions. We show in particular that this proves that the Hardy space
$H^1$ strictly contains the space special atom space.

5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci