Geodesic
Sharp weighted inequality for a~multilinear commutator of the Marcinkiewicz operator
Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 34, Tome 333 (2006), pp. 86-97

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A sharp inequality for a multilinear commutator related to the Marcinkiewicz operator is proved. As a consequence, a weighted $L^p$-norm inequality for the multilinear commutator for $1$ is obtained. 
@article{ZNSL_2006_333_a7,
     author = {Qiaozhen Zhao and L. Lanzhe},
     title = {Sharp weighted inequality for a~multilinear commutator of the {Marcinkiewicz} operator},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {86--97},
     publisher = {mathdoc},
     volume = {333},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_333_a7/}
}
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Qiaozhen Zhao; L. Lanzhe. Sharp weighted inequality for a~multilinear commutator of the Marcinkiewicz operator. Zapiski Nauchnykh Seminarov POMI, Investigations on linear operators and function theory. Part 34, Tome 333 (2006), pp. 86-97. http://geodesic.mathdoc.fr/item/ZNSL_2006_333_a7/