Author:
Armao Francy,Głazowska Dorota,Rivas Sergio,Rojas Jessica
Abstract
AbstractWe prove that if the composition operator F generated by a function f: [a, b] × ℝ → ℝ 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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1. UNIFORMLY BOUNDED COMPOSITION OPERATORS;Bulletin of the Australian Mathematical Society;2015-07-30
2. Functions of Boundedκφ-Variation in the Sense of Riesz-Korenblum;Journal of Function Spaces and Applications;2013