Medians, continuity, and vanishing oscillation
Volume 213 / 2012
Studia Mathematica 213 (2012), 227-242
MSC: Primary 42B25; Secondary 46E30.
DOI: 10.4064/sm213-3-3
Abstract
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 $\mathbb R^n$.
