Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On subadditivity-like conditions for associated weight functions   The aim of this article is to provide characterizations for
subadditivity-like growth conditions for the so-called associated weight
functions in terms of the defning weight sequence. Such growth requirements
arise frequently in the literature and are standard when dealing with
ultradifferentiable function classes defned by Braun-Meise-Taylor weight
functions since they imply or even characterize important and desired
consequences for the underlying function spaces, e.g. closedness under
composition.

12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
36
The categories of this paper are: cmp-lg
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an