Compactness for commutators of Calderón-Zygmund singular integral on weighted Morrey spaces

Jing Liu; Kui Li; Jing Liu; Kui Li

doi:10.3934/math.2024171

AIMS Mathematics

2024, Volume 9, Issue 2: 3483-3504. doi: 10.3934/math.2024171

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Research article

Compactness for commutators of Calderón-Zygmund singular integral on weighted Morrey spaces

Jing Liu ^{1
,
,},
Kui Li ²

1.
College of Technology and Data, Yantai Nanshan University, Yantai 265713, China
2.
Yantai Nanshan University, Yantai 265713, China

Received: 19 November 2023 Revised: 22 December 2023 Accepted: 27 December 2023 Published: 08 January 2024
MSC : 42B20, 42B25

We prove boundedness and compactness for the iterated commutators of the $ \theta $-type Calderón-Zygmund singular integral and its fractional variant on the weighed Morrey spaces.
- boundedness and compactness,
- commutator,
- singular integral,
- fractional integral,
- weighted Morrey spaces
Citation: Jing Liu, Kui Li. Compactness for commutators of Calderón-Zygmund singular integral on weighted Morrey spaces[J]. AIMS Mathematics, 2024, 9(2): 3483-3504. doi: 10.3934/math.2024171

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Abstract

We prove boundedness and compactness for the iterated commutators of the $ \theta $-type Calderón-Zygmund singular integral and its fractional variant on the weighed Morrey spaces.

References

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