Some embeddings into the multiplier spaces associated to Besov and Lizorkin-Triebel spaces. (Q1607607)
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scientific article; zbMATH DE number 1779541
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some embeddings into the multiplier spaces associated to Besov and Lizorkin-Triebel spaces. |
scientific article; zbMATH DE number 1779541 |
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Some embeddings into the multiplier spaces associated to Besov and Lizorkin-Triebel spaces. (English)
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14 October 2002
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Summary: We study the set of pointwise multipliers in the Lizorkin-Triebel space \(F^ {s,q}_ p\) and of the corresponding multiplier set in the Besov space \(B^ {s,q}_ p\), where we give sufficient conditions on the parameters \(s,p\) and \(p_ 1\) such that the embeddings \(F^ {n/p_ 1,\infty}_ {p_ 1}\cap L^ \infty\hookrightarrow M(F^ {s,q}_ p)\) and \(B^ {n/p_ 1,\infty}_ {p_ 1}\hookrightarrow M(B^ {s,q}_ p)\) hold.
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