Endpoint \(L^p\)-\(L^q\) estimates for degenerate Radon transforms in \(\mathbb R^2\) associated with real-analytic functions (Q1566330)
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scientific article; zbMATH DE number 1922389
| Language | Label | Description | Also known as |
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| English | Endpoint \(L^p\)-\(L^q\) estimates for degenerate Radon transforms in \(\mathbb R^2\) associated with real-analytic functions |
scientific article; zbMATH DE number 1922389 |
Statements
Endpoint \(L^p\)-\(L^q\) estimates for degenerate Radon transforms in \(\mathbb R^2\) associated with real-analytic functions (English)
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2 June 2003
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Complete \(L^p\)-\(L^q\) estimates are obtained for the degenerate Radon transform \[ Rf (t,x)=\int_{\mathbf f}(t+S(x,y), y) \psi(x,y) dy \] where \(\psi\) is supported in a small neighborhood of the origin, and \(S\) is a real analytic function.
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degenerate Radon transform
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\(L^p\)-\(L^q\) estimates
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