Medians, continuity, and vanishing oscillation

Jonathan Poelhuis; Alberto Torchinsky

Studia Mathematica (2012)

  • Volume: 213, Issue: 3, page 227-242
  • ISSN: 0039-3223

Abstract

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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 ℝⁿ.

How to cite

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Jonathan Poelhuis, and Alberto Torchinsky. "Medians, continuity, and vanishing oscillation." Studia Mathematica 213.3 (2012): 227-242. <http://eudml.org/doc/285492>.

@article{JonathanPoelhuis2012,
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 ℝⁿ.},
author = {Jonathan Poelhuis, Alberto Torchinsky},
journal = {Studia Mathematica},
keywords = {median; vanishing oscillation; continuity; John-Nirenberg type inequality},
language = {eng},
number = {3},
pages = {227-242},
title = {Medians, continuity, and vanishing oscillation},
url = {http://eudml.org/doc/285492},
volume = {213},
year = {2012},
}

TY - JOUR
AU - Jonathan Poelhuis
AU - Alberto Torchinsky
TI - Medians, continuity, and vanishing oscillation
JO - Studia Mathematica
PY - 2012
VL - 213
IS - 3
SP - 227
EP - 242
AB - 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.
LA - eng
KW - median; vanishing oscillation; continuity; John-Nirenberg type inequality
UR - http://eudml.org/doc/285492
ER -

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