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

Abstract

In the paper, some weighted maximal inequalities for the Toeplitz operator related to the singular integral transform with variable Calderón-Zygmund kernel are proved. As an application, the boundedness of the operator on weighted Lebesgue space are obtained.

Keywords

• toeplitz operator
• variable calderón-zygmund kernel
• singular integral transform
• weighted bmo function
• weighted lipschitz function