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Pointwise estimates for the maximal multilinear singular integral operators. (English) Zbl 1217.42038

Summary: Two pointwise estimates relating the maximal multilinear singular integral operators and some classical maximal operators are established. These pointwise estimates imply the rearrangement estimate and the \(\mathrm{BLO}(\mathbb R^{n})\) estimate for the maximal multilinear singular integral operators.

MSC:

42B25 Maximal functions, Littlewood-Paley theory
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