Mixed norm estimate for Radon transform on weighted \(L^p\) spaces (Q611059)
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scientific article; zbMATH DE number 5826107
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Mixed norm estimate for Radon transform on weighted \(L^p\) spaces |
scientific article; zbMATH DE number 5826107 |
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Mixed norm estimate for Radon transform on weighted \(L^p\) spaces (English)
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14 December 2010
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Mixed norm estimates are obtained for the hyperplane Radon transform on weighted \(L^p\) spaces with the power weight \(|x|^\alpha\). The non-weighted case \(\alpha=0\) was studied before by \textit{R. S. Strichartz} [Duke Math. J. 48, 699--727 (1981; Zbl 0477.44003)] and \textit{D. M. Oberlin} und \textit{E. M. Stein} [ Indiana Univ. Math. J. 31, 641--650 (1982; Zbl 0548.44003)].
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Radon transform
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mixed norm estimates
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Pitt's inequality
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