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BMO is the intersection of two translates of dyadic BMO

Name: BMO is the intersection of two translates of dyadic BMO
Creator: Tao Mei
Keywords: intersection, Mathematics - Classical Analysis and ODEs, translates, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 0101 mathematics, Function spaces arising in harmonic analysis, dyadic BMO space, 01 natural sciences, Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 11 Jun 2003Embargo end date: 01 Jan 2003Publisher:Cellule MathDoc/Centre MersenneJournal:Comptes Rendus. Mathématique, volume 336, pages 1,003-1,006 (eissn: 1778-3569,

Authors: Tao Mei;

doi: 10.1016/s1631-073x(03)00234-6 , 10.48550/arxiv.math/0304417

arXiv: http://arxiv.org/abs/math/0304417

BMO is the intersection of two translates of dyadic BMO

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Abstract

Let T be the unite circle on $R^2$. Denote by BMO(T) the classical BMO space and denote by BMO_D(T) the usual dyadic BMO space on T. We prove that, BMO(T) is the intersction of BMO_D(T) and a translate of BMO_D(T).

4 pages

Related Organizations

The University of Texas System
United States

Keywords

intersection, Mathematics - Classical Analysis and ODEs, translates, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Function spaces arising in harmonic analysis, dyadic BMO space, Spaces of measurable functions ($L^p$-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.), 42B35

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