Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strong A-infinity weights, Besov and Sobolev capacities in metric
  measure spaces   This article studies strong A-infinity weights in Ahlfors Q-regular and
geodesic metric spaces satisfying a weak (1,s)-Poincare inequality for some
1<s<=Q, where Q is finite. It is shown that whenever max(1,Q-1)<s<=Q, a
function u yields a strong A-infinity weight of the form w=exp(Qu) if u has a
minimal s-weak upper gradient with sufficiently small Morrey norm. Similarly,
it is proved that if 1<Q<p for some finite p, then w=exp(Qu) is a strong
A-infinity weight whenever u has sufficiently small Besov p-seminorm.

1
The categories of this paper are: cs
16
The categories of this paper are: stat
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg