An embedding relation for bounded mean oscillation on rectangles

2017/03/02 by Benoît F. Sehba, Sehba, Benoît F.
Mathematics · #Advanced Banach Space Theory #Classical Analysis and ODEs (math.CA) #Complex Variables (math.CV) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1703.00851

openalex publication_date 2017/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the two-parameter setting, we say a function belongs to the mean little BMO, if its mean over any interval and with respect to any of the two variables has uniformly bounded mean oscillation. This space has been recently introduced by S. Pott and the author in relation with the multiplier algebra of the product BMO of Chang-Fefferman. We prove that the Cotlar-Sadosky space of functions of bounded mean oscillation bmo(\mathbbT^N) is a strict subspace of the mean little BMO.

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