Towards sharp superposition theorems in Besov and Lizorkin-Triebel spaces

DOI10.1016/j.na.2007.02.035zbMath1149.46026OpenAlexW1989501807MaRDI QIDQ2483357

Winfried Sickel, Madani Moussai, Gérard Bourdaud

Publication date: 28 April 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.02.035

zbMATH Keywords

Besov spacessuperposition operatorsLizorkin-Triebel spacesPeetre'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)

Related Items (13)

Functional calculus on BMO-type spaces of Bourgain, Brezis and Mironescu ⋮ Nonlinear maps between Besov and Sobolev spaces ⋮ An optimal symbolic calculus on Besov algebras ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Composition operators acting on Besov spaces on the real line ⋮ Composition operators on Besov algebras ⋮ Remarks on the superposition operator problem in various function spaces ⋮ Composition operators on Lizorkin-Triebel spaces ⋮ Superposition in homogeneous and vector valued Sobolev spaces ⋮ A necessary condition for composition in Besov spaces ⋮ The composition in multidimensional Triebel-Lizorkin spaces ⋮ Variational Source Conditions in $L^p$-spaces ⋮ A composition property in the space \(H^2\). II.

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