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 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 MSC numbers : 42B20, 42B25 Downloads: Full-text PDF