2017
Том 69
№ 9

All Issues

Weighted sharp boundedness for multilinear commutators

Hong Xu, Liu Lanzhe, Zeng Jiasheng

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Abstract

In this paper, the sharp estimates for some multilinear commutators related to certain sublinear integral operators are obtained. The operators include the Littlewood - Paley operator and the Marcinkiewicz operator. As application, we obtain the weighted $L^p (p > 1)$ inequalities and $L \log L$-type estimate for the multilinear commutators.

English version (Springer): Ukrainian Mathematical Journal 59 (2007), no. 10, pp 1591-1605.

Citation Example: Hong Xu, Liu Lanzhe, Zeng Jiasheng Weighted sharp boundedness for multilinear commutators // Ukr. Mat. Zh. - 2007. - 59, № 10. - pp. 1419–1431.

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