Some Sharp Weighted Estimates for Multilinear Operators
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.
2000 Mathematics Subject Classification: 42B20, 42B25.
Keywords and Phrases: Multilinear Operator; Calderón-Zygmund operator; Littlewood-Paley operator; Marcinkiewicz operator; Bochner-Riesz operator; Sharp estimate; BMO.
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