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\(L^p\) bounds for the commutators of oscillatory singular integrals with rough kernels - MaRDI portal

\(L^p\) bounds for the commutators of oscillatory singular integrals with rough kernels (Q1724013)

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scientific article; zbMATH DE number 7022298
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\(L^p\) bounds for the commutators of oscillatory singular integrals with rough kernels
scientific article; zbMATH DE number 7022298

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    \(L^p\) bounds for the commutators of oscillatory singular integrals with rough kernels (English)
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    14 February 2019
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    Summary: We establish the \(L^p\) boundedness for some commutators of oscillatory singular integrals with the kernel condition which was introduced by \textit{L. Grafakos} and \textit{A. Stefanov} [Indiana Univ. Math. J. 47, No. 2, 455--469 (1998; Zbl 0913.42014)]. Our theorems contain various conditions on the phase function.
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    method of rotations
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    Calderón-Zygmund singular integral operators
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    rough homogeneous kernels
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    maximal singular integrals
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