Medians, continuity, and vanishing oscillation
Studia Mathematica, Tome 213 (2012) no. 3, pp. 227-242

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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 related to local sharp maximal functions restricted to a cube of $\mathbb R^n$.
DOI : 10.4064/sm213-3-3
Keywords: consider properties medians pertain continuity vanishing oscillation function approach based observation medians related local sharp maximal functions restricted cube mathbb

Jonathan Poelhuis 1 ; Alberto Torchinsky 1

1 Department of Mathematics Indiana University Bloomington, IN 47405, U.S.A.
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Jonathan Poelhuis; Alberto Torchinsky. Medians, continuity, and vanishing oscillation. Studia Mathematica, Tome 213 (2012) no. 3, pp. 227-242. doi: 10.4064/sm213-3-3

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