Medians, Continuity, and Oscillation
Classical Analysis and ODEs
2013-01-07 v2 Functional Analysis
Abstract
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 .
Cite
@article{arxiv.1207.2710,
title = {Medians, Continuity, and Oscillation},
author = {Jonathan Poelhuis and Alberto Torchinsky},
journal= {arXiv preprint arXiv:1207.2710},
year = {2013}
}
Comments
17 pages; corrected typos. To appear in Studia Mathematica