On superposition operators in spaces of regular and of bounded variation functions

DOI10.4171/ZAA/1566zbMath1362.47051OpenAlexW2519669583MaRDI QIDQ330248

Artur Michalak

Publication date: 25 October 2016

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/zaa/1566

zbMATH Keywords

functions of bounded variationNemytskii superposition operatorsregular functions

Mathematics Subject Classification ID

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

Related Items (8)

On superposition operators in spaces \(BV_{\varphi}(0,1)\) ⋮ Measures of noncompactness in the space of regulated functions on an unbounded interval ⋮ On regulated functions ⋮ Measures of noncompactness and superposition operator in the space of regulated functions on an unbounded interval ⋮ Measure differential inclusions through selection principles in the space of regulated functions ⋮ Characterization of compact linear integral operators in the space of functions of bounded variation ⋮ Some inequalities and superposition operator in the space of regulated functions ⋮ On a step method and a propagation of discontinuity

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