Composition Operators on Potential Spaces

DOI10.2307/2159794zbMath0753.47045OpenAlexW4213358268MaRDI QIDQ3987972

Michael Frazier, David R. Adams

Publication date: 28 June 1992

Full work available at URL: https://doi.org/10.2307/2159794

zbMATH Keywords

Sobolev spacesNemytskij operatorsalgebra of bounded operators

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) Banach spaces of continuous, differentiable or analytic functions (46E15)

Related Items (17)

Fractional Calderón problems and Poincaré inequalities on unbounded domains ⋮ Fractional Gagliardo-Nirenberg interpolation inequality and bounded mean oscillation ⋮ Stability Estimates for the Inverse Fractional Conductivity Problem ⋮ Dahlberg degeneracy for homogeneous Besov and Triebel–Lizorkin spaces ⋮ Low regularity theory for the inverse fractional conductivity problem ⋮ Exploring the unknown: the work of Louis Nirenberg on partial differential equations ⋮ Partial regularity for biharmonic maps, revisited ⋮ On the autonomous Nemytskii operator between Sobolev spaces in the critical and supercritical cases: well-definedness and higher-order chain rule ⋮ Composition operators on Lizorkin-Triebel spaces ⋮ Superposition in homogeneous and vector valued Sobolev spaces ⋮ Uhlenbeck's decomposition in Sobolev and Morrey-Sobolev spaces ⋮ The composition in multidimensional Triebel-Lizorkin spaces ⋮ A regularity result for polyharmonic maps with higher integrability ⋮ Regularity of Morrey commutators ⋮ An 𝐿^{𝑝} regularity theory for harmonic maps ⋮ Continuity of composition operators in Sobolev spaces ⋮ Density of imaginary multiplicative chaos via Malliavin calculus

Cites Work

• A discrete transform and decompositions of distribution spaces
• On the existence of capacitary strong type estimates in \(R^n\)
• BMO and smooth truncation in Sobolev spaces
• The Equivalence of Two Definitions of Capacity
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