Weyl multipliers for invariant Sobolev spaces (Q1301564)
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scientific article; zbMATH DE number 1334264
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weyl multipliers for invariant Sobolev spaces |
scientific article; zbMATH DE number 1334264 |
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Weyl multipliers for invariant Sobolev spaces (English)
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25 April 2000
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Authors consider a concrete characterization for the \(L^p\)-multipliers \((1<p<\infty)\) for the Weyl transform. This is used to study the Weyl multipliers for Laguerre Sobolev spaces \(W^{m,p}(\mathbb{C}^n)\). A dual space characterization is obtained for the Weyl multiplier class \(M_W(W^{m,1}_{\mathbb{L}}(\mathbb{C}^n))\).
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concrete characterization
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\(L^p\)-multipliers
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Weyl transform
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Weyl multipliers
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Laguerre Sobolev spaces
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dual space characterization
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