Weighted estimates for the multilinear singular integral operators with non-smooth kernels (Q547376)
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scientific article; zbMATH DE number 5916800
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Weighted estimates for the multilinear singular integral operators with non-smooth kernels |
scientific article; zbMATH DE number 5916800 |
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Weighted estimates for the multilinear singular integral operators with non-smooth kernels (English)
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1 July 2011
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The authors establish some weighted norm inequalities with \(A_p\) weights for the multilinear singular integral operators with nonsmooth kernels. Such operators and related results without weights connect with the previous work given by \textit{X. T. Duong, Ruming, L. Grafakos, J. Li} and \textit{L. Yan} [Indiana Univ. Math. J. 58, No.~6, 2517--2542 (2009); Zbl 1205.42013)] and \textit{X. T. Duong, L. Grafakos} and \textit{L. Yan} [Trans. Am. Math. Soc. 362, No.~4, 2089--2113 (2010); Zbl 1135.42056)].
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approximation of identity
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weighted norm inequality
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singular integral operator
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non-smooth kernel
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Calderón-Zygmund decomposition
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