Combinatorial inequalities and subspaces of L₁
Joscha Prochno ; Carsten Schütt
Studia Mathematica, Tome 209 (2012), p. 21-39 / Harvested from The Polish Digital Mathematics Library
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Let M₁ and M₂ be N-functions. We establish some combinatorial inequalities and show that the product spaces ℓⁿM₁(ℓⁿM₂) are uniformly isomorphic to subspaces of L₁ if M₁ and M₂ are “separated” by a function tr, 1 < r < 2.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:285557 
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     title = {Combinatorial inequalities and subspaces of L1},
     journal = {Studia Mathematica},
     volume = {209},
     year = {2012},
     pages = {21-39},
     zbl = {1278.46018},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm211-1-2}
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Joscha Prochno; Carsten Schütt. Combinatorial inequalities and subspaces of L₁. Studia Mathematica, Tome 209 (2012) pp. 21-39. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm211-1-2/