On the embedding of 2-concave Orlicz spaces into $L^1$

Carsten Schütt

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.…