Embeddings of spaces of functions of positive smoothness on irregular domains in Lebesgue spaces (Q722142)
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scientific article; zbMATH DE number 6909344
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Embeddings of spaces of functions of positive smoothness on irregular domains in Lebesgue spaces |
scientific article; zbMATH DE number 6909344 |
Statements
Embeddings of spaces of functions of positive smoothness on irregular domains in Lebesgue spaces (English)
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23 July 2018
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The paper deals with embeddings of Sobolev-Besov spaces of type \(L^s_{p,\theta} (G)\), \(B^s_{p,\theta} (G)\) with \(1\leq p, \theta \leq \infty\) and \(s>0\) in domains \(G\) in \(\mathbb R^n\) satisfying the so-called flexible \(\sigma\)-cone condition, \(\sigma \geq 1\), into Lebesgue spaces \(L_q (G)\). The proofs are based on new integral representation formulas.
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Besov spaces
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Sobolev spaces
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Lebesgue spaces
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embedding theorem
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irregular domains
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integral representation formula
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