Abstract
We prove that every locally defined operator mapping the space of continuous and bounded \(\varphi \)-variation functions into itself is a Nemytskij composition operator.
Citation
Małgorzata Wróbel. "Locally Defined Operators in the Space of Functions of Bounded φ-Variation." Real Anal. Exchange 38 (1) 79 - 94, 2012/2013.
Information
Published: 2012/2013
First available in Project Euclid: 29 April 2013
MathSciNet: MR3083199
Subjects:
Primary:
47H30
Keywords:
Continuous function
,
function of bounded \(\varphi\)-variation
,
Local operator
,
Nemytskij (superposition, composition) operator
Rights: Copyright © 2012 Michigan State University Press
