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Sharp function estimates and boundedness for commutators associated with general singular integral operator

Sharp function estimates and boundedness for commutators associated with general singular integral operator

In this paper, we establish the sharp maximal function estimates for the commutator associated with the singular integral operator with general kernel. As an application, we obtain the boundedness of the commutator on weighted Lebesgue, Morrey, and Triebel-Lizorkin spaces. MSC:42B20, 42B25.