Restricted Radon transforms and unions of hyperplanes (Q877805)
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scientific article; zbMATH DE number 5149126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Restricted Radon transforms and unions of hyperplanes |
scientific article; zbMATH DE number 5149126 |
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Restricted Radon transforms and unions of hyperplanes (English)
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3 May 2007
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Summary: We study \(L^p(\mathbb{R}^n)\to L^{\alpha,\infty}_{d\mu(\sigma)} (L^\infty_{dt})\) estimates for the Radon transform in certain cases where the dimension of the measure \(\mu\) on \(\Sigma^{(n-1)}\) is less than \(n-1\).
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Hausdorff dimension
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Besicovitch set
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