Medians, continuity, and vanishing oscillation
Jonathan Poelhuis ; Alberto Torchinsky
Studia Mathematica, Tome 209 (2012), p. 227-242 / Harvested from The Polish Digital Mathematics Library

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 ℝⁿ.

Publié le : 2012-01-01
EUDML-ID : urn:eudml:doc:285492
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     author = {Jonathan Poelhuis and Alberto Torchinsky},
     title = {Medians, continuity, and vanishing oscillation},
     journal = {Studia Mathematica},
     volume = {209},
     year = {2012},
     pages = {227-242},
     zbl = {1277.42024},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-3}
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Jonathan Poelhuis; Alberto Torchinsky. Medians, continuity, and vanishing oscillation. Studia Mathematica, Tome 209 (2012) pp. 227-242. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm213-3-3/