Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abstract Hardy-Sobolev spaces and interpolation   The purpose of this work is to describe an abstract theory of Hardy-Sobolev
spaces on doubling Riemannian manifolds via an atomic decomposition. We study
the real interpolation of these spaces with Sobolev spaces and finally give
applications to Riesz inequalities.

34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg