Weighted boundedness for Toeplitz type operator associated to singular integral operator with variable Calderón-Zygmund kernel

Abstract

In this paper, we establish the weighted sharp maximal function inequalities for the Toeplitz type operator associated to the singular integral operator with variable Calderón- Zygmund kernel. As an application, we obtain the boundedness of the operator on weighted Lebesgue and Morrey spaces.

Keywords

• Toeplitz type operator,singular integral operator,sharp maximal function,variable Calderón-Zygmund kernel,weighted BMO,weighted Lipschitz function

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