Geodesic
Combinatorial inequalities and subspaces of $L_1$
Joscha Prochno 1   ; Carsten Schütt 1
1 Mathematisches Seminar Christian-Albrechts-Universität zu Kiel 24098 Kiel, Germany
Studia Mathematica, Tome 211 (2012) no. 1, pp. 21-39 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 $t^{r}$, $1 r 2$.
DOI : 10.4064/sm211-1-2
Keywords: n functions establish combinatorial inequalities product spaces ell ell uniformly isomorphic subspaces separated function

Joscha Prochno  1   ; Carsten Schütt  1

1 Mathematisches Seminar Christian-Albrechts-Universität zu Kiel 24098 Kiel, Germany 
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Joscha Prochno; Carsten Schütt. Combinatorial inequalities and subspaces of $L_1$. Studia Mathematica, Tome 211 (2012) no. 1, pp. 21-39. doi: 10.4064/sm211-1-2

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