Some intersections of Lorentz spaces

Abstract

Let (X,μ) be a measure space. For p, q∈ (0,∞] and arbitrary subsets P,Q of (0,∞], we introduce and characterize some intersections of Lorentz spaces, denoted by ILp,Q(X,μ), ILJ,q(X,μ) and ILJ,Q(X,μ).

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