Combinatorial inequalities and subspaces of
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.
