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Another proof of characterization of BMO via Banach function spaces. (English) Zbl 1343.42030

Summary: Our aim is to give a characterization of the BMO norm via Banach function spaces based on the Rubio de Francia algorithm. Our proof is different from the one by K.-P. Ho [Anal. Math. 38, No. 3, 173–185 (2012; Zbl 1289.46049)].

MSC:

42B35 Function spaces arising in harmonic analysis
46E30 Spaces of measurable functions (\(L^p\)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

Citations:

Zbl 1289.46049
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