On a Local Mean Oscillation Decomposition
Abstract
In this note we generate two local median oscillation decompositions of an arbitrary measurable function and discuss some applications to Calder\'on-Zygmund singular integral operators T. These applications rely on the inequality M0,s(Tf)(x) ≤ c\,Mf(x), and we complete the results given here with a discussion of a local version of this estimate.
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