Combinatorial inequalities and subspaces of L₁

Joscha Prochno, and Carsten Schütt. "Combinatorial inequalities and subspaces of L₁." Studia Mathematica 211.1 (2012): 21-39. <http://eudml.org/doc/285557>.

@article{JoschaProchno2012,
abstract = {Let M₁ and M₂ be N-functions. We establish some combinatorial inequalities and show that the product spaces $ℓⁿ_\{M₁\}(ℓⁿ_\{M₂\})$ are uniformly isomorphic to subspaces of L₁ if M₁ and M₂ are “separated” by a function $t^\{r\}$, 1 < r < 2.},
author = {Joscha Prochno, Carsten Schütt},
journal = {Studia Mathematica},
keywords = {subspaces of ; Orlicz spaces; product spaces},
language = {eng},
number = {1},
pages = {21-39},
title = {Combinatorial inequalities and subspaces of L₁},
url = {http://eudml.org/doc/285557},
volume = {211},
year = {2012},
}

TY - JOUR
AU - Joscha Prochno
AU - Carsten Schütt
TI - Combinatorial inequalities and subspaces of L₁
JO - Studia Mathematica
PY - 2012
VL - 211
IS - 1
SP - 21
EP - 39
AB - Let M₁ and M₂ be N-functions. We establish some combinatorial inequalities and show that the product spaces $ℓⁿ_{M₁}(ℓⁿ_{M₂})$ are uniformly isomorphic to subspaces of L₁ if M₁ and M₂ are “separated” by a function $t^{r}$, 1 < r < 2.
LA - eng
KW - subspaces of ; Orlicz spaces; product spaces
UR - http://eudml.org/doc/285557
ER -