Sharp endpoint estimates for the \(X\)-ray transform and the Radon transform in finite fields (Q2839364)
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scientific article; zbMATH DE number 6184479
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp endpoint estimates for the \(X\)-ray transform and the Radon transform in finite fields |
scientific article; zbMATH DE number 6184479 |
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5 July 2013
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Radon transform
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finite fields
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0.8933812
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0.8722368
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0.87123775
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0.86898303
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0.86664534
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0.86662483
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0.86056834
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0.8514012
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Sharp endpoint estimates for the \(X\)-ray transform and the Radon transform in finite fields (English)
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\textit{A. Carbery}, \textit{B. Stones} and \textit{J. Wright} [Math. Proc. Camb. Philos. Soc. 144, No. 1, 13--27 (2008; Zbl 1141.43006)] initially studied the mapping properties of \(k\)-plane transforms in finite fields of dimension \(d\). The cases \(k=1\) and \(k=d-1\) are known as the \(X\)-ray transform and the Radon transform respectively. In the paper under review the author establishes sharp \(L^p-L^r\) estimates for \(X\)-ray transforms and Radon transforms in finite fields.
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