Medians, continuity, and vanishing oscillation

• Autorzy: Jonathan Poelhuis , Alberto Torchinsky
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46E30: Spaces of measurable functions ( L p -spaces, Orlicz spaces, K\"othe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.)
• 42B25: Maximal functions, Littlewood-Paley theory

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 213
• Numer: 3
• Strony: 227-242

Daty

wydano

2012

Twórcy

autor

Jonathan Poelhuis

• Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.

autor

Alberto Torchinsky

• Department of Mathematics, Indiana University, Bloomington, IN 47405, U.S.A.

Identyfikatory

DOI

10.4064/sm213-3-3