On some classes of \(L^ p\)-bounded pseudo-differential operators (Q1093819)
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scientific article; zbMATH DE number 4023916
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some classes of \(L^ p\)-bounded pseudo-differential operators |
scientific article; zbMATH DE number 4023916 |
Statements
On some classes of \(L^ p\)-bounded pseudo-differential operators (English)
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1986
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The author gives some new sufficient conditions for the boundedness of pseudo-differential operators in \(L^ p(R^ n)\) for \(2\leq p\leq \infty\). He investigates the classes of non-regular symbols, which are \([n/2]+1\) differentiable in \(\xi\) and Hölder continuous in x variables. The order of these operators is \(m_ p=n(1-\rho)| -1/p|\), generalizing Hörmander's class \(S^{m_ p}_{\rho,0}\).
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boundedness
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non-regular symbols
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order
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