Functional calculus in certainLizorkin-Triebel spaces

DOI10.1007/BF01193549zbMath0817.46034OpenAlexW2127143776MaRDI QIDQ1345865

Gérard Bourdaud

Publication date: 17 July 1995

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193549

zbMATH Keywords

nonlinear operatorcompositionfunctional calculusLizorkin-Triebel space

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)

Related Items

Sublinear functional calculus in homogeneous Besov spaces ⋮ Dahlberg degeneracy for homogeneous Besov and Triebel–Lizorkin spaces ⋮ Limiting Bourgain-Brezis estimates for systems of linear differential equations: theme and variations ⋮ Remarks on the superposition operator problem in various function spaces ⋮ Limiting fractional and Lorentz space estimates of differential forms

Cites Work

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• Fonctions qui opèrent sur les espaces de Besov et de Triebel. (Functions which operate on Besov and Triebel spaces.)
• Local approximation spaces
• Descriptions of functions in classes of Besov-Lizorkin-Triebel type
• 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)
• Functional calculus in fractional Sobolev spaces
• On the existence of capacitary strong type estimates in \(R^n\)
• Sur les fonctions qui operent sur l'espace \(\hat A^ 2\)
• Fonctions Qui Operent sur les Espaces de Besov
• Le Calcul Fonctionnel Dans L'Espace De Besov Critique

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