Superposition operators and functions of bounded \(p\)-variation

DOI10.4171/RMI/463zbMath1134.46015OpenAlexW1969451315MaRDI QIDQ879627

Gérard Bourdaud, Massimo Lanza de Cristoforis, Winfried Sickel

Publication date: 14 May 2007

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmi/116187134

zbMATH Keywords

functions of bounded \(p\)-variationhomogeneous and inhomogeneous Besov spacesboundedness of superposition operatorsPeetre's embedding theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Functions of bounded variation, generalizations (26A45)

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Cites Work

• Le calcul fonctionnel dans les espaces de Sobolev. (Functional calculus in Sobolev spaces)
• Réalisations des espaces de Besov homogènes. (Realization of homogeneous Besov spaces)
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