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Traces of anisotropic Sobolev spaces with mixed \(L_ p\)-norms on hyperplanes - MaRDI portal

Traces of anisotropic Sobolev spaces with mixed \(L_ p\)-norms on hyperplanes (Q908486)

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scientific article; zbMATH DE number 4134833
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English
Traces of anisotropic Sobolev spaces with mixed \(L_ p\)-norms on hyperplanes
scientific article; zbMATH DE number 4134833

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    Traces of anisotropic Sobolev spaces with mixed \(L_ p\)-norms on hyperplanes (English)
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    1989
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    The author gives a new short proof of direct and inverse embedding theorems for traces for anisotropic Sobolev spaces with mixed \(L_ p\)- norms on hyperplanes in \(R^ n\). The proof is based on interpolation theory and uses arguments similar to such of Triebel in his well-known book on interpolation.
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    direct and inverse embedding theorems for traces for anisotropic Sobolev spaces with mixed \(L_ p\)-norms on hyperplanes in \(R^ n\)
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    interpolation theory
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