Superposition operator problems of Hölder-Lipschitz spaces

DOI10.1515/DEMA-2024-0043MaRDI QIDQ6653817

Yeli Niu, Heping Wang

Publication date: 17 December 2024

Published in: Demonstratio Mathematica (Search for Journal in Brave)

zbMATH Keywords

locally Lipschitz functionLipschitz functionHölder-Lipschitz spacessuperposition operator problem

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) Lipschitz (Hölder) classes (26A16)

Cites Work

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• Embedding of generalized Lipschitz classes into classes of functions with \(\Lambda\)-bounded variation
• On the composition operator in \(RV_ \Phi[a,b]\)
• The superposition operator in the space of functions continuous and converging at infinity on the real half-axis
• On functions of bounded \(\Lambda\)-variation and integral smoothness
• Composing Functions of Bounded Variation
• On the invariance of classes Φ𝐵𝑉,Λ𝐵𝑉 under composition
• Bounded Variation and Around

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