Rough Marcinkiewicz integrals with \(L(\log^+L)^2\) kernels on product spaces (Q2767433)
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scientific article; zbMATH DE number 1697443
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rough Marcinkiewicz integrals with \(L(\log^+L)^2\) kernels on product spaces |
scientific article; zbMATH DE number 1697443 |
Statements
29 January 2002
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Marcinkiewicz integral
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rough kernel
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product space
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Rough Marcinkiewicz integrals with \(L(\log^+L)^2\) kernels on product spaces (English)
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In this announcement, the authors claim that rough Marcinkiewicz integrals with \(L^2(\log ^+L)^2\) kernel on product spaces are bounded in \(L^p({\mathbb R}^n\times{\mathbb R}^n)\) for \(p\in (1,\infty)\), which are proved to be bounded in \(L^2({\mathbb R}^n\times{\mathbb R}^n)\) by \textit{Y. Ding} [Hokkaido Math. J. 27, No. 1, 105-115 (1998; Zbl 0896.42010)].
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