Liu, Lanzhe

Some sharp weighted estimates for multilinear operators

Doc. Math., J. DMV 9, 607-622 (2004)

Summary

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 the weighted norm inequalities and $L\log L$ type estimate for the multilinear operators.

Mathematics Subject Classification

42B20, 42B25

Keywords/Phrases

multilinear operator, Calderón-Zygmund operator, Littlewood-Paley operator, Marcinkiewicz operator, Bochner-Riesz operator, sharp estimate, BMO

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