On the embedding of 2-concave Orlicz spaces into L¹

Schütt, Carsten

Studia Mathematica, Tome 113 (1995), p. 73-80 / Harvested from The Polish Digital Mathematics Library

Résumé

In [K-S 1] it was shown that $A v e_{π} (\sum_{i = 1}^{n} | x_{i} a_{π (i)} {|^{2})}^{1 / 2}$ is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence $a_{1}, . . ., a_{n}$ so that the above expression is equivalent to a given Orlicz norm.

Publié le : 1995-01-01

Zbl 0835.46023

EUDML-ID : urn:eudml:doc:216161

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     author = {Carsten Sch\"utt},
     title = {On the embedding of 2-concave Orlicz spaces into L$^1$},
     journal = {Studia Mathematica},
     volume = {113},
     year = {1995},
     pages = {73-80},
     zbl = {0835.46023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv113i1p73bwm}
}

Schütt, Carsten. On the embedding of 2-concave Orlicz spaces into L¹. Studia Mathematica, Tome 113 (1995) pp. 73-80. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv113i1p73bwm/

Bibliographie

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