Superposition Operators in the Space of Functions of Waterman-Shiba Bounded Variation

Jose Gimenez, Nelson Merentes, and Luz Rodriguez. "Superposition Operators in the Space of Functions of Waterman-Shiba Bounded Variation." Commentationes Mathematicae 54.1 (2014): null. <http://eudml.org/doc/292483>.

@article{JoseGimenez2014,
abstract = {In this paper we present a necessary condition for an autonomous superposition operator to act in the space of functions of Waterman-Shiba bounded variation. We also show that if a (general) superposition operator applies such space into itself and it is uniformly bounded, then its generating function satisfies a weak Matkowski condition.},
author = {Jose Gimenez, Nelson Merentes, Luz Rodriguez},
journal = {Commentationes Mathematicae},
keywords = {Bounded Variation, Superposition Operator, Waterman- Shiba-Variation},
language = {eng},
number = {1},
pages = {null},
title = {Superposition Operators in the Space of Functions of Waterman-Shiba Bounded Variation},
url = {http://eudml.org/doc/292483},
volume = {54},
year = {2014},
}

TY - JOUR
AU - Jose Gimenez
AU - Nelson Merentes
AU - Luz Rodriguez
TI - Superposition Operators in the Space of Functions of Waterman-Shiba Bounded Variation
JO - Commentationes Mathematicae
PY - 2014
VL - 54
IS - 1
SP - null
AB - In this paper we present a necessary condition for an autonomous superposition operator to act in the space of functions of Waterman-Shiba bounded variation. We also show that if a (general) superposition operator applies such space into itself and it is uniformly bounded, then its generating function satisfies a weak Matkowski condition.
LA - eng
KW - Bounded Variation, Superposition Operator, Waterman- Shiba-Variation
UR - http://eudml.org/doc/292483
ER -