Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces (Q2809354)
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scientific article; zbMATH DE number 6586867
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces |
scientific article; zbMATH DE number 6586867 |
Statements
27 May 2016
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Besov space
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Triebel-Lizorkin space
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embedding theorems
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compactness
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radial functions
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Muckenhoupt weights
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wavelet bases
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Weighted embedding theorems for radial Besov and Triebel-Lizorkin spaces (English)
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The authors deal with sufficient conditions for continuity and compactness of embeddings for radial Besov and Triebel-Lizorkin spaces with weights from the Muckenhoupt class \(A_\infty\). The main tools are a discretization by means of a wavelet isomorphism and a known result on continuity and compactness of embeddings of certain vector-valued sequence spaces. Special attention is paid to weights of power type.
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