A Whitney extension theorem in \(L^p\) and Besov spaces

DOI10.5802/aif.684zbMath0335.46024OpenAlexW2316034899MaRDI QIDQ5905830

Alf Jonsson, Hans Wallin

Publication date: 1978

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/74344

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35)

Related Items (18)

Measure density and extension of Besov and Triebel-Lizorkin functions ⋮ The trace of Sobolev-Slobodeckij spaces on Lipschitz domains ⋮ Traces and Sobolev extension domains ⋮ On initial-boundary value problem of the stochastic heat equation in Lipschitz cylinders ⋮ On trace of Brownian motion on the boundary of a strip ⋮ Existence results of two mixed boundary value elliptic PDEs in \(\mathbb{R}^N\) ⋮ Boundary behavior of functions from Sobolev classes defined on domains with exterior peak ⋮ Fractional Orlicz-Sobolev extension/imbedding on Ahlfors \(n\)-regular domains ⋮ Besov reconstruction ⋮ The trace of subsets of \(R^ n\) of Besov spaces in the general case ⋮ On estimates for the Besov norms of solutions to 3D subelliptic equations ⋮ \(W^{s,\frac{n}{s}}\)-maps with positive distributional Jacobians ⋮ Boundary integral operators over Lipschitz surfaces for a Stokes equation in \(\mathbb R^{n}\) ⋮ The trace to the boundary of Sobolev spaces on a snowflake ⋮ On improved fractional Sobolev-Poincaré inequalities ⋮ Comparison of different definitions of traces for a class of ramified domains with self-similar fractal boundaries ⋮ Free interpolation by functions with derivatives in \(H^ 1\) ⋮ The pseudoanalytic extension

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• Theory of Bessel potentials. II
• On spaces of potentials connected with \(L^ p\) classes
• The characterization of functions arising as potentials
• Investigation of a family of function spaces in connection with theorems of imbedding and extension
• Continuation of functions beyond the boundary of a domain with preservation of differential-difference properties in 𝐿_{𝑝}
• On Generalized Potentials of Functions in the Lebesgue Classes.
• ON IMBEDDING, CONTINUATION AND APPROXIMATION THEOREMS FOR DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES
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