BMO is the intersection of two translates of dyadic BMO

Mathematics – Classical Analysis and ODEs

Scientific paper

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4 pages

Scientific paper

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).

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