On the continuity of superposition operators in the space of functions of bounded variation

DOI10.1007/S00010-017-0491-XzbMath1472.47050OpenAlexW2612176695MaRDI QIDQ2407703

Piotr Maćkowiak

Publication date: 6 October 2017

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-017-0491-x

zbMATH Keywords

nonautonomous superposition operatorautonomous superposition operatorfunction of bounded variation in the sense of Jordancontinuity of superposition operator

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Functions of bounded variation, generalizations (26A45)

Related Items (5)

Types of convergence which preserve continuity ⋮ 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 ⋮ Uniform continuity of nonautonomous superposition operators in \(\Lambda\)BV-spaces

Cites Work

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• Concrete Functional Calculus
• A simple proof of the Rademacher theorem
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• Convergence in Variation and Related Topics

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