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Research Article | Open Access

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

Zhiyu Lin, Xiangxing Tao, Taotao Zheng( )
Department of Mathematics, School of Science, Zhejiang University of Science and Technology, Hangzhou 310023, China
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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.

Keywords

compactnessiterated commutatorsgeneral bilinear fractional integral operatorsMorrey spacesnon-doubling measures
CLC number: 42B20, 47B07, 42B35

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AIMS Mathematics
Volume 7 Issue 12,
December 2022
Pages 20645-20659
DOI: 10.3934/math.20221132

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Cite this article:
Lin Z, Tao X, Zheng T. Compactness for iterated commutators of general bilinear fractional integral operators on Morrey spaces with non-doubling measures. AIMS Mathematics, 2022, 7(12): 20645-20659. https://doi.org/10.3934/math.20221132

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Received: 15 May 2022
Revised: 06 September 2022
Accepted: 13 September 2022
Published: 15 December 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)