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math.CA2012
On a Local Mean Oscillation Decomposition
Jonathan Poelhuis, Alberto Torchinsky
In this note we generate two local median oscillation decompositions of an arbitrary measurable function and discuss some applications to Calderón-Zygmund singular integral operato…
math.CA2012
Medians, Continuity, and Oscillation
Jonathan Poelhuis, Alberto Torchinsky
In this paper we consider properties of medians as they pertain to the continuity and vanishing oscillation of a function. Our approach is based on the observation that medians are…