Weighted endpoint inequalities for multilinear Marcinkiewicz integral operator
Bull. Korean Math. Soc. 2008 Vol. 45, No. 1, 1-10 Printed March 1, 2008
Yu Wenxin and Lanzhe Liu Changsha University of Science and Technology
Abstract : We prove a sharp inequality for some multilinear operator related to Marcinkiewicz integral operator. As application, we obtain the weighted norm inequality and $L\log L$ type estimate for the multilinear operator.
Keywords : multilinear Marcinkiewicz integral operator, sharp estimate, BMO
