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Some sharp weighted estimates for multilinear operators. (English) Zbl 1058.42008
Summary: In this paper, we establish a sharp inequality for some multilinear operators related to certain integral operators. The operators include Calderón-Zygmund singular integral operator, Littlewood-Paley operator, Marcinkiewicz operator and Bochner-Riesz operator. As application, we obtain weighted norm inequalities and $$L\log L$$ type estimate for the multilinear operators.
##### MSC:
 42B20 Singular and oscillatory integrals (Calderón-Zygmund, etc.) 42B25 Maximal functions, Littlewood-Paley theory
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