A note on the composition of regular functions

DOI10.4171/ZAA/1502zbMath1312.47073MaRDI QIDQ2448602

Nelson Merentes, Wadie Aziz, José Luis Sánchez

Publication date: 2 May 2014

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

zbMATH Keywords

composition operatorsregular functionsSierpiński decomposition

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) for real functions in one variable (26A15) Singular functions, Cantor functions, functions with other special properties (26A30) Functions of bounded variation, generalizations (26A45)

Related Items (3)

On regulated functions ⋮ Measures of noncompactness and superposition operator in the space of regulated functions on an unbounded interval ⋮ Some inequalities and superposition operator in the space of regulated functions

Cites Work

• Superposition operators and functions of bounded \(p\)-variation
• Composing Functions of Bounded Variation
• Extension of range of functions
• On lipschitz continuity of the solution mapping to the skorokhod problem, with applications
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