Traces of anisotropic Besov--Lizorkin--Triebel spaces---a complete treatment of the borderline cases

zbMath0970.46019arXiv1703.06720MaRDI QIDQ2713669

Walter Farkas, Winfried Sickel, Johnsen, Jon.

Publication date: 10 June 2001

Full work available at URL: https://arxiv.org/abs/1703.06720

zbMATH Keywords

interpolationboundary problemsatomic decompositionsapproximation spacestrace operatorsanisotropic Besov and Lizorkin-Triebel spacesanisotropic scalesrefined Sobolev embeddings

Mathematics Subject Classification ID

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

Related Items (12)

Entropy numbers of Sobolev embeddings of radial Besov spaces. ⋮ Traces of vector-valued Sobolev spaces ⋮ Anisotropic Lizorkin-Triebel spaces with mixed norms - traces on smooth boundaries ⋮ Pointwise multiplication by the characteristic function of the half-space on anisotropic vector-valued function spaces ⋮ Littlewood-Paley characterizations of weighted anisotropic Triebel-Lizorkin spaces via averages on balls. II. ⋮ Entropy numbers in function spaces with mixed integrability ⋮ A generalization of a logarithmic Sobolev inequality to the Hölder class ⋮ Traces of Besov spaces revisited ⋮ Dyadic norm Besov-type spaces as trace spaces on regular trees ⋮ Analysis of shape optimization problems for unsteady fluid-structure interaction ⋮ Atomic and Littlewood-Paley characterizations of anisotropic mixed-norm Hardy spaces and their applications ⋮ Wavelet characterizations for anisotropic Besov spaces

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