Geodesic
Superposition Operators in the Space of Functions of Waterman-Shiba Bounded Variation
Commentationes Mathematicae, Tome 54 (2014) no. 1, pp. 79-93.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

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.
DOI : 10.14708/cm.v54i1.764
Classification : 26B30, 47H30, 26B35
Mots-clés : Bounded Variation, Superposition Operator, Waterman- Shiba-Variation 
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Jose Gimenez; Nelson Merentes; Luz Rodriguez. Superposition Operators in the Space of Functions of Waterman-Shiba Bounded Variation. Commentationes Mathematicae, Tome 54 (2014) no. 1, pp.  79-93. doi : 10.14708/cm.v54i1.764. http://geodesic.mathdoc.fr/articles/10.14708/cm.v54i1.764/

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