Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Systems of dyadic cubes in a doubling metric space   A number of recent results in Euclidean Harmonic Analysis have exploited
several adjacent systems of dyadic cubes, instead of just one fixed system. In
this paper, we extend such constructions to general spaces of homogeneous type,
making these tools available for Analysis on metric spaces. The results include
a new (non-random) construction of boundedly many adjacent dyadic systems with
useful covering properties, and a streamlined version of the random
construction recently devised by H. Martikainen and the first author. We
illustrate the usefulness of these constructions with applications to weighted
inequalities and the BMO space; further applications will appear in forthcoming
work.

22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph