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A decomposition of the dual space of some Banach function spaces. (English) Zbl 1244.46011

Summary: We give a decomposition for the dual space of some Banach function spaces as the Zygmund space \(\text{EXP}_\alpha\) of the exponential integrable functions, the Marcinkiewicz space \(L^{p,\infty}\), and the Grand Lebesgue Space \(L^{p,\theta}\).

MSC:

46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
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