Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Duality in a stability problem for some functionals arising in
  interpolation theory   By using duality, it is shown that there exist near-minimizers for the
distance functionals for the couple $(L^\infty, L^p)$, $1<p<\infty$, that are
stable under the action of singular integral operators.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
3
The categories of this paper are: physics