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

Dazhao Chen; Dazhao Chen

doi:10.3934/math.2021041

AIMS Mathematics

2021, Volume 6, Issue 1: 688-697. doi: 10.3934/math.2021041

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Research article

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

Dazhao Chen ^,

School of Science, Shaoyang University, Shaoyang 422000, Hunan, Peoples Republic of China

Received: 18 June 2020 Accepted: 08 October 2020 Published: 28 October 2020
MSC : 42B20, 42B25

In the paper, some weighted maximal inequalities for the Toeplitz operator related to the singular integral transform with variable CalderȮn-Zygmund kernel are proved. As an application, the boundedness of the operator on weighted Lebesgue space are obtained.
- Toeplitz operator,
- variable CalderȮn-Zygmund kernel,
- singular integral transform,
- weighted BMO function,
- weighted Lipschitz function
Citation: Dazhao Chen. Weighted boundedness for Toeplitz type operator related to singular integral transform with variable Calderón-Zygmund kernel[J]. AIMS Mathematics, 2021, 6(1): 688-697. doi: 10.3934/math.2021041

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Abstract

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

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