Estimates for Fourier integral operators with complex-valued phase functions (Q2784533)
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scientific article; zbMATH DE number 1732427
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Estimates for Fourier integral operators with complex-valued phase functions |
scientific article; zbMATH DE number 1732427 |
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Estimates for Fourier integral operators with complex-valued phase functions (English)
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2001
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\(L^p\)-estimates
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Fourier integral operators
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boundedness
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0.9648334
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0.9247607
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0.9200236
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0.91122204
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0.90443677
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0.90026796
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0.89398175
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The author gives sharp \(L^p\)-estimates for Fourier integral operators with complex-valued phase functions. These estimates imply, in particular, the known \(L^p\)-properties of Fourier integral operators with real phase functions, as well as the boundedness on \(L^2\) of zero order Fourier integral operators with complex-valued phase functions. As an application the pointwise \(L^p\)- estimates with respect to time for solutions of a certain pseudodifferential Cauchy problem are given.
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