H. G. Amini

Some intersections of Lorentz spaces

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