Boundedness of singular Radon transforms on \(L^p\) spaces under a finite-type condition (Q2772968)
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scientific article; zbMATH DE number 1708595
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness of singular Radon transforms on \(L^p\) spaces under a finite-type condition |
scientific article; zbMATH DE number 1708595 |
Statements
21 October 2002
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\(L^p\) spaces
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boundedness
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singular Radon transforms
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Boundedness of singular Radon transforms on \(L^p\) spaces under a finite-type condition (English)
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A new method is presented for proving boundedness of singular Radon transforms on \(L^p\) spaces for \(1<p<\infty\). Two closely related results generalizing the correspending theorem due to \textit{M. Christ}, \textit{A. Nagel}, \textit{E. M. Stein}, and \textit{S. Wainger} [Ann. Math. (2) 150, No. 2, 489-577 (1999; Zbl 0960.44001)] are also proved.
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