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Weighted Sharp function estimate and boundedness for commutator associated with singular integral operator satisfying a variant of Hörmander's condition

Weighted Sharp function estimate and boundedness for commutator associated with singular integral operator satisfying a variant of Hörmander's condition

In this paper, we establish a weighted sharp maximal function estimate for the commutator associated with the singular integral operator satisfying a variant of Hörmander's condition.As an application, we obtain the weighted boundedness of the commutators on Lebesgue and Morrey spaces.