Uniformly continuous composition operators in the space of bounded \(\varphi \)-variation functions

DOI10.1016/J.NA.2009.11.051zbMath1225.47078OpenAlexW2026330980MaRDI QIDQ847363

Janusz Matkowski, Hugo Leiva, José Atilio Guerrero, Nelson Merentes

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.051

zbMATH Keywords

compositionregularisationJensen equationuniformly continuous operator\(\varphi\)-variation in the sense of Wiener

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45) Representation and superposition of functions (26B40)

Related Items (6)

On superposition operators in spaces \(BV_{\varphi}(0,1)\) ⋮ Uniformly bounded composition operators in the Banach space of bounded \((p, k)\)-variation in the sense of Riesz-Popoviciu ⋮ Uniformly bounded Nemytskij operators between the Banach spaces of functions of bounded \(n\)-th variation ⋮ Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces ⋮ Functions of bounded \(\kappa \varphi\)-variation in the sense of Riesz-Korenblum ⋮ Locally defined operators in the space of functions of bounded \(\varphi \)-variation

Cites Work

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• On some propertis of functions of generalized variation
• Mappings of generalized variation and composition operators
• On generalized variations (I)
• Uniformly continuous superposition operators in the space of bounded variation functions
• On a Characterization of Lipschitzian Operators of Substitution in the SpaceBV{a, b)
• Composing Functions of Bounded ϕ-Variation
• Some elementary examples in nonlinear operator theory

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