On constructions of isometric embeddings of nonseparable Lp spaces, 0 < p ≤2

• Autorzy: Grala-Michalak J. , Michalak A.
• Języki publikacji: EN

Abstrakty

EN

Let J be an infinite set. Let X be a real or complex -order continuous rearrangement invariant quasi-Banach function space over ({0, 1}J ,BJ , J ), the product of J copies of the measure space [formula]. We show that if 0 < p < 2 and X contains a function f with the decreasing rearrangement f* such that [...] for every t ε (0, 1), then it contains an isometric copy of the Lebesgue space Lp(J ). Moreover, if X contains a function f such that [...] for every t ε(0, 1), then it contains an isometric copy of the Lebesgue space L2(J ).

Słowa kluczowe

EN

L^p-spaces

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2008
• Tom: Vol. 48, [Z] 2
• Strony: 129--145
• Opis fizyczny: bibliogr. 27 poz.

Twórcy

autor

Grala-Michalak J.

autor

Michalak A.

• Faculty of Mathematics and Computer Science, Adam Mickiewicz University ul. Umultowska 87, 61-614 Poznań, Poland,

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