Weighted estimates for commutators associated to singular integral operator satisfying a variant of Hörmander's condition

Jie Sun; Jiamei Chen; Jie Sun; Jiamei Chen

doi:10.3934/math.20231311

AIMS Mathematics

2023, Volume 8, Issue 11: 25714-25728. doi: 10.3934/math.20231311

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Weighted estimates for commutators associated to singular integral operator satisfying a variant of Hörmander's condition

Jie Sun ,
Jiamei Chen ^,

Department of Mathematics, Mudanjiang Normal University, Mudanjiang 157011, Heilongjiang, China

Received: 05 May 2023 Revised: 23 August 2023 Accepted: 27 August 2023 Published: 06 September 2023
MSC : 42B20, 42B30

In this paper, we establish some boundedness for commutators generated by the singular integral operator satisfying a variant of Hörmander's condition and a weighted BMO function on weighted Hardy spaces and weighted Herz spaces. As an application, we obtain some classical results.
- a variant of Hörmander's condition,
- commutators,
- BMO space,
- weighted Hardy space,
- weighted Herz space
Citation: Jie Sun, Jiamei Chen. Weighted estimates for commutators associated to singular integral operator satisfying a variant of Hörmander's condition[J]. AIMS Mathematics, 2023, 8(11): 25714-25728. doi: 10.3934/math.20231311

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Abstract

In this paper, we establish some boundedness for commutators generated by the singular integral operator satisfying a variant of Hörmander's condition and a weighted BMO function on weighted Hardy spaces and weighted Herz spaces. As an application, we obtain some classical results.

References

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