A criterion for a normed algebra in the scale of Sobolev spaces (Q2037688)
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scientific article; zbMATH DE number 7369724
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A criterion for a normed algebra in the scale of Sobolev spaces |
scientific article; zbMATH DE number 7369724 |
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A criterion for a normed algebra in the scale of Sobolev spaces (English)
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8 July 2021
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The aim of the author is to consider Bessel scales of Sobolev spaces. A uniform boundedness condition on a suitable function \(M\), sufficient to be an \(L_p\)-multiplier, \(p > 1\), is usually satisfied for smoothness functions determining derivatives of integer and fractional orders. Now the condition proposed by the author somewhat extends the range of applicability as compared to the usual Sobolev spaces.
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Sobolev space
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Banach algebra
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multipliers of Fourier transform
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