Compactness for iterated commutators of general bilinear fractional integral operators on Morrey spaces with non-doubling measures

Zhiyu Lin; Xiangxing Tao; Taotao Zheng; Zhiyu Lin; Xiangxing Tao; Taotao Zheng

doi:10.3934/math.20221132

AIMS Mathematics

2022, Volume 7, Issue 12: 20645-20659. doi: 10.3934/math.20221132

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Research article

Compactness for iterated commutators of general bilinear fractional integral operators on Morrey spaces with non-doubling measures

Department of Mathematics, School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China

Received: 15 May 2022 Revised: 06 September 2022 Accepted: 13 September 2022 Published: 23 September 2022
MSC : 42B20, 47B07, 42B35

In the present article, we obtain the compactness of iterated commutators generated by general bilinear fractional operator with RVMO functions on Morrey spaces with non-doubling measures.
- compactness,
- iterated commutators,
- general bilinear fractional integral operators,
- Morrey spaces,
- non-doubling measures
Citation: Zhiyu Lin, Xiangxing Tao, Taotao Zheng. Compactness for iterated commutators of general bilinear fractional integral operators on Morrey spaces with non-doubling measures[J]. AIMS Mathematics, 2022, 7(12): 20645-20659. doi: 10.3934/math.20221132

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Abstract

In the present article, we obtain the compactness of iterated commutators generated by general bilinear fractional operator with RVMO functions on Morrey spaces with non-doubling measures.

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