Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the mixed $(\ell _{1},\ell _{2})$-Littlewood inequalities and
  interpolation   It is well-known that the optimal constant of the bilinear Bohnenblust--Hille
inequality (i.e., Littlewood's $4/3$ inequality) is obtained by interpolating
the bilinear mixed $\left( \ell _{1},\ell_{2}\right) $-Littlewood inequalities.
We remark that this cannot be extended to the $3$-linear case and, in the
opposite direction, we show that the asymptotic growth of the constants of the
$m$-linear Bohnenblust--Hille inequality is the same of the constants of the
mixed $\left( \ell _{\frac{2m+2}{m+2}},\ell _{2}\right) $-Littlewood
inequality. This means that, contrary to what the previous works seem to
suggest, interpolation does not play a crucial role in the search of the exact
asymptotic growth of the constants of the Bohnenblust--Hille inequality. In the
final section we use mixed Littlewood type inequalities to obtain the optimal
cotype constants of certain sequence spaces.

15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
1
The categories of this paper are: cs
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
19
The categories of this paper are: eess