Uniformly bounded Nemytskij operators between the Banach spaces of functions of bounded \(n\)-th variation

DOI10.1016/j.jmaa.2012.02.053zbMath1321.47124OpenAlexW2047513833MaRDI QIDQ412447

Małgorzata Wróbel

Publication date: 4 May 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.02.053

zbMATH Keywords

uniformly continuous mappingdivided difference of order \(n\)function of bounded \(n\)-th variationNemytskij (composition, superposition) operatoruniformly bounded mapping

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (2)

Uniformly bounded composition operators in the Banach space of bounded \((p, k)\)-variation in the sense of Riesz-Popoviciu ⋮ On bi-dimensional second \(\mu\)-variation

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