## Some sharp weighted estimates for multilinear operators

### 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.

42B20, 42B25

### Keywords/Phrases

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