Acta Mathematica Vietnamica
Search within journal
Volumes and issues
SHARP WEIGHTED INEQUALITIES FOR MULTILINEAR INTEGRAL OPERATORS
LANZHE LIUpp. 181-194
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.