Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Adimensional weighted Sobolev inequalities in PI spaces   We provide a family of global weighted Sobolev inequalities and Hardy
inequalities on PI spaces with possibly non-maximal volume growth. Our results
apply notably to non-trivial Ahlfors regular spaces like Laakso spaces and
Kleiner-Schioppa spaces.

24
The categories of this paper are: dg-ga
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio