On boundedness of superposition operators in spaces of Triebel-Lizorkin type

DOI10.21136/cmj.1989.102305zbMath0693.46039OpenAlexW2735778166MaRDI QIDQ3468150

Winfried Sickel

Publication date: 1989

Full work available at URL: https://eudml.org/doc/13780

zbMATH Keywords

superposition operator spaces of Triebel-Lizorkin type

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Linear operators on function spaces (general) (47B38)

Related Items (4)

Functional calculus on BMO-type spaces of Bourgain, Brezis and Mironescu ⋮ Composition operators on Herz-type Triebel-Lizorkin spaces with application to semilinear parabolic equations ⋮ The superposition operator and Strauss lemma in logarithmic Besov spaces ⋮ Quasilinear parabolic-parabolic singular perturbations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Para-differential operators in spaces of Triebel-Lizorkin and Besov type
• Mapping properties of nonlinear operators in spaces of Triebel-Lizorkin and Besov type
• On spaces of Triebel-Lizorkin type
• On the existence of capacitary strong type estimates in \(R^n\)
• Lectures on Cauchy problem. Notes by M. K. Venkatesha Murthy and B. V. Singbal
• Absolute continuity on tracks and mappings of Sobolev spaces
• \(H^p\) spaces of several variables
• Complete Characterization of Functions Which Act, Via Superposition, on Sobolev Spaces
• Mapping Properties of Non-Linear Operators Generated by ϕ(u)=|u|^σ and by Holomorphic ϕ(u) in Function Spaces of Besov-Hardy-Sobolev Type Boundary Value Problems for Elliptic Differential Equations of Type δu=f (x) + ϕ(u)
• Some Maximal Inequalities

This page was built for publication: On boundedness of superposition operators in spaces of Triebel-Lizorkin type