Functional calculus in fractional Sobolev spaces

DOI10.1007/BF02571817zbMath0759.46032OpenAlexW2030342478MaRDI QIDQ1202210

Gérard Bourdaud, M. E. D. Kateb

Publication date: 2 February 1993

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174422

zbMATH Keywords

fractional Sobolev spacesfunctional calculus

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items

Functional calculus on BMO-type spaces of Bourgain, Brezis and Mironescu ⋮ Functional calculus in certainLizorkin-Triebel spaces ⋮ Functions which operate on Besov spaces ⋮ Differentiability properties of the autonomous composition operator in Sobolev spaces ⋮ Sublinear functional calculus in homogeneous Besov spaces ⋮ Truncation in Besov-Morrey and Triebel-Lizorkin-Morrey spaces ⋮ On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: well-definedness and higher-order chain rule ⋮ Remarks on the superposition operator problem in various function spaces ⋮ Fonctions qui opèrent sur les espaces de Besov et de Triebel. (Functions which operate on Besov and Triebel spaces.) ⋮ Extensions of Meyers-Ziemer results

Cites Work

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• Mapping properties of nonlinear operators in spaces of Triebel-Lizorkin and Besov type
• Fonctions qui opèrent sur les espaces de Sobolev. (Functions that operate on Sobolev spaces)
• On the existence of capacitary strong type estimates in \(R^n\)
• Calcul fonctionnel dans certains espaces de Besov. (Functional calculus in certain Besov spaces)
• Sur les fonctions qui operent sur l'espace \(\hat A^ 2\)
• Complete Characterization of Functions Which Act, Via Superposition, on Sobolev Spaces
• Fonctions Qui Operent sur les Espaces de Besov