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

Year 2019, Volume: 48 Issue: 3, 657 - 668, 15.06.2019

Dazhao Chen

https://doi.org/10.15672/hujms.546986

Cited By: 1

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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