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On optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions. (English. Russian original) Zbl 1344.46025

Dokl. Math. 92, No. 2, 545-547 (2015); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 464, No. 2, 145-147 (2015).
Summary: A precise description of optimal Banach spaces containing a weighted cone of monotone or quasi-concave functions is given.

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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References:

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