2012/07/11 by Jonathan Poelhuis, Alberto Torchinsky, Poelhuis, Jonathan +1
Mathematics · #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Approximation Theory and Sequence Spaces #math.CA #math.FA #msc:42B25 #msc:46E30
paper · pdf · doi:10.48550/arxiv.1207.2710
17 pages; corrected typos. To appear in Studia Mathematica
arxiv created 2013/01/04 · arxiv updated 2013/01/07
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 related to local sharp maximal functions restricted to a cube of \Rn.