A continuity theorem for a class of pseudodifferential operators (Q684345)
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scientific article; zbMATH DE number 411633
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A continuity theorem for a class of pseudodifferential operators |
scientific article; zbMATH DE number 411633 |
Statements
A continuity theorem for a class of pseudodifferential operators (English)
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13 September 1993
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For the class \(\Sigma^{1/2,1/2}\) of pseudodifferential operators the author proves a Calderon-Vaillancourt theorem. The operators are bounded from \(L^ 2_{\text{comp}}(\mathbb{R}^{n-1})\) to \(L^ 2_{\text{loc}}(\mathbb{R}^ n)\).
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\(L^ 2\)-boundedness
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pseudodifferential operators
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Calderon-Vaillancourt theorem
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