A Note on Weighted Sobolev Spaces, and Regularity of Commutators and Layer Potentials Associated to the Heat Equation

DOI10.2307/2160061zbMath0780.35048OpenAlexW4255629196MaRDI QIDQ3134678

Steven Hofmann

Publication date: 13 September 1993

Full work available at URL: https://doi.org/10.2307/2160061

zbMATH Keywords

regularityheat equationweighted Sobolev spacescommutatorshomogeneous Sobolev spacetime dependent boundaryboundary single layer potential

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Maximal functions, Littlewood-Paley theory (42B25) Initial-boundary value problems for second-order parabolic equations (35K20) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Conjugate functions, conjugate series, singular integrals (42A50)

Cites Work

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• \(H^p\) spaces of several variables
• Multilinear singular integrals involving a derivative of fractional order
• Another Characterization of BMO
• Regularity Properties of Commutators and Layer Potentials Associated to the Heat Equation
• Weighted norm inequalities for maximal functions and singular integrals
• Norm Inequalities for the Littlewood-Paley Function g ∗ λ

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