Higher Order Sobolev-Type Spaces on the Real Line

This paper gives a characterization of Sobolev functions on the real line by means of pointwise inequalities involving finite differences. This is also shown to apply to more general Orlicz-Sobolev, Lorentz-Sobolev, and Lorentz-Karamata-Sobolev spaces.

Saved in:
Bibliographic Details
Main Authors: Bogdan Bojarski, Juha Kinnunen, Thomas Zürcher
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2014/261565
Tags: Add Tag
No Tags, Be the first to tag this record!