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Research Article | Open Access

Bilinear θ-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
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Abstract

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

Keywords

bilinear θ-type Calderón-Zygmund operatorcommutatorgeneralized variable exponent Morrey spacesBMO(Rn)
CLC number: 42B20, 42B25, 42B35

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AIMS Mathematics
Volume 7 Issue 7,
July 2022
Pages 12123-12143
DOI: 10.3934/math.2022674

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Cite this article:
Xu B. Bilinear θ-type Calderón-Zygmund operators and its commutators on generalized variable exponent Morrey spaces. AIMS Mathematics, 2022, 7(7): 12123-12143. https://doi.org/10.3934/math.2022674

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Received: 13 November 2021
Revised: 12 April 2022
Accepted: 14 April 2022
Published: 15 July 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)