Geodesic
On symmetric spaces containing isomorphic copies of Orlicz sequence spaces
Commentationes Mathematicae, Tome 56 (2016) no. 1, p. 29−44.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

Let an Orlicz function \(N\) be \((1+\varepsilon)\)-convex and \((2-\varepsilon)\)-concave at zero for some \(\varepsilon>0.\) Then the function \(1/N^{-1}(t)\), \(t\in(0,1]\), belongs to a separable symmetric space \(X\) with the Fatou property, which is an interpolation space with respect to the couple \((L_1,L_2)\), whenever \(X\) contains a strongly embedded subspace isomorphic to the Orlicz sequence space \(l_N\). On the other hand, we find necessary and sufficient conditions on such an Orlicz function \(N\) under which a sequence of mean zero independent functions equimeasurable with the function \({1}/{N^{-1}}(t)\), \(0
DOI : 10.14708/cm.v56i1.1113
Classification : 46E30, 46B20, 46B09
Mots-clés : symmetric space, Orlicz sequence space, independent functions, p-convex function, q-concave function, interpolation of operators 
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Sergey Astashkin. On symmetric spaces containing isomorphic copies of Orlicz sequence spaces. Commentationes Mathematicae, Tome 56 (2016) no. 1, p.  29−44. doi : 10.14708/cm.v56i1.1113. http://geodesic.mathdoc.fr/articles/10.14708/cm.v56i1.1113/

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