On symmetric spaces containing isomorphic copies of Orlicz sequence spaces

• Autorzy: Sergey Astashkin
• Języki publikacji: EN

Abstrakty

EN

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

Słowa kluczowe

EN

symmetric space; Orlicz sequence space; independent functions; p-convex function; q-concave function; interpolation of operators

• Wydawca: Polish Mathematical Society
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2016
• Tom: 56
• Numer: 1

Daty

wydano

2016

online

2016-10-13

Twórcy

autor

Sergey Astashkin

Identyfikatory

DOI

10.14708/cm.v56i1.1113