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

• Autorzy: Giménez J. , Merentes N. , Rodriguez L.

Identyfikatory

DOI

10.14708/cm.v54i1.764

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

bounded variation; superposition operator; Waterman- Shiba-Variation

• Wydawca: Polskie Towarzystwo Matematyczne
• Czasopismo: Commentationes Mathematicae
• Rocznik: 2014
• Tom: Vol 54, No. 1
• Strony: 79--93
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Giménez J.

• Departamento de Matemáticas, Facultad de Ciencias, Universidad de Los Andes Mérida, Venezuela

autor

Merentes N.

• Escuela de Matemáticas, Universidad Central de Venezuela Caracas, Venezuela

autor

Rodriguez L.

• Departamento de Investigación de Operaciones y Estadistica Universidad Centroccidental Lisandro Alvarado, Barquisimeto, Venezuela

Bibliografia

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