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UMD-extensions of Calderón-Zygmund operators with mild kernel regularity - MaRDI portal

UMD-extensions of Calderón-Zygmund operators with mild kernel regularity (Q2154370)

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UMD-extensions of Calderón-Zygmund operators with mild kernel regularity
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    UMD-extensions of Calderón-Zygmund operators with mild kernel regularity (English)
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    19 July 2022
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    This article is armed with new methods to revisit a result of \textit{T. Figiel} [Lond. Math. Soc. Lect. Note Ser. None, 95--110 (1991; Zbl 0746.47026)] concerning the UMD-extensions of linear Calderón-Zygmund operators with mild kernel regularity and then it extends the new proof to the multilinear setting improving recent UMD-valued estimates of multilinear singular integrals. This approach provides a new way of thinking in dealing with similar problems.
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    singular integrals
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    kernel regularity
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    UMD spaces
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    multilinear analysis
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