- Tytuł:
- On symmetric spaces containing isomorphic copies of Orlicz sequence spaces
- Autorzy:
- Astashkin, Sergey
- Powiązania:
- https://bibliotekanauki.pl/articles/745096.pdf
- Data publikacji:
- 2016
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
symmetric space
Orlicz sequence space
independent functions
p-convex function
q-concave function
interpolation of operators - Opis:
- 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
- Źródło:
-
Commentationes Mathematicae; 2016, 56, 1
0373-8299 - Pojawia się w:
- Commentationes Mathematicae
- Dostawca treści:
- Biblioteka Nauki
Artykuł