Combinatorial inequalities and subspaces of $L_1$
Volume 211 / 2012
Studia Mathematica 211 (2012), 21-39
MSC: Primary 46B03; Secondary 46B45.
DOI: 10.4064/sm211-1-2
Abstract
Let $M_1$ and $M_2$ be N-functions. We establish some combinatorial inequalities and show that the product spaces $\ell ^n_{M_1}(\ell _{M_2}^{n})$ are uniformly isomorphic to subspaces of $L_1$ if $M_1$ and $M_2$ are “separated” by a function $t^{r}$, $1< r< 2$.
