Bilinear $ \theta $-type Calderón-Zygmund operators and its commutators on generalized variable exponent Morrey spaces

Bo Xu; Bo Xu

doi:10.3934/math.2022674

AIMS Mathematics

2022, Volume 7, Issue 7: 12123-12143. doi: 10.3934/math.2022674

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Bilinear $ \theta $-type Calderón-Zygmund operators and its commutators on generalized variable exponent Morrey spaces

Bo Xu ^,

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received: 13 November 2021 Revised: 12 April 2022 Accepted: 14 April 2022 Published: 22 April 2022
MSC : 42B20, 42B25, 42B35

In this paper, we discuss the boundedness of bilinear $ \theta $-type Calderón-Zygmund operators on the generalized variable exponent Morrey spaces. In addition, the corresponding results of commutators generated by bilinear $ \theta $-type Calderón-Zygmund operators with BMO functions on these spaces is also obtained.
- bilinear $ \theta $-type Calderón-Zygmund operator,
- commutator,
- generalized variable exponent Morrey spaces,
- BMO($ \mathbb{R}^{n} $)
Citation: Bo Xu. Bilinear $ \theta $-type Calderón-Zygmund operators and its commutators on generalized variable exponent Morrey spaces[J]. AIMS Mathematics, 2022, 7(7): 12123-12143. doi: 10.3934/math.2022674

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Abstract

In this paper, we discuss the boundedness of bilinear $ \theta $-type Calderón-Zygmund operators on the generalized variable exponent Morrey spaces. In addition, the corresponding results of commutators generated by bilinear $ \theta $-type Calderón-Zygmund operators with BMO functions on these spaces is also obtained.

References

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