Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the embedding of 2-concave Orlicz spaces into $L^1$   In [K--S 1] it was shown that
  $$ \underset {\pi} \to {\text{Ave}} (\sum_{i=1}^{n}|x_i a_{\pi(i)}|^2)^{\frac
{1}{2}} $$
  is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we
give a formula for the sequence $a_1, a_2,....,a_n$ so that the above
expression is equivalent to a given Orlicz norm.

31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an