Weighted sharp boundedness for multilinear commutators



Abstract

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


Keywords

multilinear commutator; Littlewood-Paley operator; Marcinkiewicz operator; sharp estimate; BMO

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Published : 2006-09-29


XuH., ZengJ., & LiuL. (2006). Weighted sharp boundedness for multilinear commutators. Annales Mathematicae Silesianae, 20, 73-86. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14069

Hong Xu 
Department of Mathematics, Changsha Univeristy of Science and Technology, China  China
Jiasheng Zeng 
Department of Mathematics, Changsha Univeristy of Science and Technology, China  China
Lanzhe Liu  lanzheliu@163.com
Department of Mathematics, Changsha Univeristy of Science and Technology, China  China



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