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An embedding relation for bounded mean oscillation on rectangles

Name: An embedding relation for bounded mean oscillation on rectangles
Creator: Benoît F. Sehba
Keywords: Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, 8. Economic growth, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV), 0101 mathematics, 16. Peace & justice, 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2014Embargo end date: 01 Jan 2017Publisher:Institute of Mathematics, Polish Academy of SciencesJournal:Annales Polonici Mathematici, volume 112, pages 287-299 (issn: 0066-2216, eissn: 1730-6272,

Authors: Benoît F. Sehba;

doi: 10.4064/ap112-3-6 , 10.48550/arxiv.1703.00851

arXiv: http://arxiv.org/abs/1703.00851

An embedding relation for bounded mean oscillation on rectangles

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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 $bmo(\mathbb{T}^N)$ is a strict subspace of the mean little $BMO$.

Published

Related Organizations

Université de Yaoundé I
Cameroon

Keywords

Mathematics - Classical Analysis and ODEs, Mathematics - Complex Variables, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Complex Variables (math.CV)

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