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Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu |
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| Authors: | Francy Armao Dorota G?azowska Sergio Rivas Jessica Rojas |
| Institution: | 1. Facultad de Ciencias, Departamento de Matemática, Universidad Central de Venezuela, Caracas, Venezuela 2. Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra, Szafrana 4a, 65-516, Zielona Góra, Poland 3. Departamento de Matemática, Universidad Nacional Abierta, Caracas, Venezuela |
| Abstract: | We prove that if the composition operator F generated by a function f: a, b] × ? → ? maps the space of bounded (p, k)-variation in the sense of Riesz-Popoviciu, p ≥ 1, k an integer, denoted by RV(p,k)a, b], into itself and is uniformly bounded then RV(p,k)a, b] satisfies the Matkowski condition. |
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