Sharp \(L^p\) estimates for some oscillatory integral operators in \(\mathbb{R}^1\) (Q1766829)
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scientific article; zbMATH DE number 2140227
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp \(L^p\) estimates for some oscillatory integral operators in \(\mathbb{R}^1\) |
scientific article; zbMATH DE number 2140227 |
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Sharp \(L^p\) estimates for some oscillatory integral operators in \(\mathbb{R}^1\) (English)
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1 March 2005
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The author considers some oscillatory integral operators related to averaging operators in the plane. He gives sharp endpoint estimates for decay rate of the \(L^p\) operator norms of oscillatory integral operators with some real homogeneous polynomial phases. Boundedness of this operator is proved and examples are given which show that the result cannot be improved.
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endpoint estimates
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homogeneous polynomial phases
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oscillatory integral operators
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averaging operators
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operator norms
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boundedness
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