SHARP WEIGHTED INEQUALITIES FOR MULTILINEAR INTEGRAL OPERATORS

Lanzhe Liu

Abstract

          A sharp inequality for some multilinear operator related to a certain integral operator is obtained. The operator includes the Littlewood-Paley operator, the Marcinkiewicz operator and the Bochner-Riesz operator. As an application, we derive the weighted L^p (p > 1) norm inequalities and L log L type estimate for the multilinear operator.