Some Sharp Weighted Estimates for Multilinear Operators

Abstract

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 Llog L type estimate for the multilinear operators.

Keywords

• Multilinear Operator
• Calderón-Zygmund operator
• Littlewood-Paley operator
• Marcinkiewicz operator
• Bochner-Riesz operator
• Sharp estimate
• BMO.