An embedding relation for bounded mean oscillation on rectangles

Benoît F. Sehba

doi:10.4064/ap112-3-6

An embedding relation for bounded mean oscillation on rectangles

Benoît F. Sehba

University of Yaoundé 1

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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 present author in relation to the multiplier algebra of the product BMO of Chang-Fefferman. We prove that the Cotlar-Sadosky space bmo(T^N) of functions of bounded mean oscillation is a strict subspace of the mean little BMO.

Original language	English
Pages (from-to)	287-300
Number of pages	14
Journal	Annales Polonici Mathematici
Volume	112
Issue number	3
DOIs	https://doi.org/10.4064/ap112-3-6
Publication status	Published - 2014
Externally published	Yes

Keywords

Bounded mean oscillation
Logarithmic mean oscillation
Product domains

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10.4064/ap112-3-6

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KW - Logarithmic mean oscillation

KW - Product domains

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An embedding relation for bounded mean oscillation on rectangles

Abstract

Keywords

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