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
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