Nonautonomous superposition operators in the spaces of functions of bounded variation

DOI10.12775/TMNA.2016.070zbMath1460.47028OpenAlexW2547065404MaRDI QIDQ526144

Dariusz Bugajewski, Piotr Maćkowiak, Piotr Kasprzak, Daria Bbugajewska

Publication date: 8 May 2017

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.12775/tmna.2016.070

zbMATH Keywords

Lipschitz conditionautonomous (nonautonomous) superposition operatorlocally bounded mappingvariation in the sense of Jordanacting conditions

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Functions of bounded variation, generalizations (26A45)

Related Items (10)

On continuity and compactness of some nonlinear operators in the spaces of functions of bounded variation ⋮ On the continuity of superposition operators in the space of functions of bounded variation ⋮ On some nonlinear operators in \(\Lambda BV\)-spaces ⋮ On integral operators and nonlinear integral equations in the spaces of functions of bounded variation ⋮ Unnamed Item ⋮ Characterization of compact linear integral operators in the space of functions of bounded variation ⋮ A survey on composition operators on some function spaces ⋮ The superposition operator in the space of functions continuous and converging at infinity on the real half-axis ⋮ Uniform continuity of nonautonomous superposition operators in \(\Lambda\)BV-spaces ⋮ On integral bounded variation

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