A survey on composition operators on some function spaces
DOI10.1007/s00010-020-00768-5OpenAlexW3115573572MaRDI QIDQ2042965
Martina Maiuriello, D'Aniello, Emma
Publication date: 22 July 2021
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2005.07735
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) Lipschitz (Hölder) classes (26A16) Linear composition operators (47B33) Classification of real functions; Baire classification of sets and functions (26A21) Functions of bounded variation, generalizations (26A45)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Gauge integrals and selections of weakly compact valued multifunctions
- Nonautonomous superposition operators in the spaces of functions of bounded variation
- On composition of Baire functions
- Superposition operators and functions of bounded \(p\)-variation
- On the autonomous Nemytskij operator in Hölder spaces
- Closure properties for integral problems driven by regulated functions via convergence results
- Equi-Baire one family of functions on metric spaces: a generalization of equi-continuity; and some applications
- On the continuity of superposition operators in the space of functions of bounded variation
- Left Baire-1 compositors and continuous functions
- Superposition operators and functions of bounded \(p\)-variation. II
- An equivalent definition of functions of the first Baire class
- <i>K</i>-CONTINUOUS FUNCTIONS AND RIGHT <i>B</i><sub>1</sub> COMPOSITORS
- Complete Characterization of Functions Which Act, Via Superposition, on Sobolev Spaces
- Composing Functions of Bounded Variation
- How can we recover Baire class one functions?
- Remarks on the superposition operator problem in various function spaces
- On the sets of fixed points of bounded Baire one functions
- Bounded Variation and Around
This page was built for publication: A survey on composition operators on some function spaces
