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Vietnam Journal of Mathematics 35:1(2007) 1-10

 Sharp Weighted Inequalities for Multilinear Commutator of Marcinkiewicz Operator

Zhuang Binxian and Liu Lanzhe

Abstract.  In this paper, we prove the sharp inequality for the multilinear commutator related to the Marcinkiewicz operator. By using the sharp inequality, we obtain the weighted L^p-norm inequality for the multilinear commutator.

2000 Mathematics Subject Classification: 42B20, 42B25.

Keywords: Multilinear commutator; Marcinkiewicz operator; BMO; Sharp inequality.

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Published by Springer since January 2013