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Research Article | Open Access

Boundedness of sublinear operators on weighted grand Herz-Morrey spaces

Wanjing Zhang1, Suixin He1,2, Jing Zhang1,2( )
School of Mathematics and Statistics, Yili Normal University, Yining, Xinjiang 835000, China
Institute of Applied Mathematics, Yili Normal University, Yining, Xinjiang 835000, China
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Abstract

In this paper, we introduce weighted grand Herz-Morrey type spaces and prove the boundedness of sublinear operators and their multilinear commutators on these spaces. The results are still new even in the unweighted setting.

Keywords

sublinear operatormultilinear commutatorsgrand Herz-Morrey spacevariable exponentweight
CLC number: 42B25, 42B35, 46E30

References

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AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 17381-17401
DOI: 10.3934/math.2023888

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Cite this article:
Zhang W, He S, Zhang J. Boundedness of sublinear operators on weighted grand Herz-Morrey spaces. AIMS Mathematics, 2023, 8(8): 17381-17401. https://doi.org/10.3934/math.2023888

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Received: 29 December 2022
Revised: 02 May 2023
Accepted: 06 May 2023
Published: 15 August 2023
©2023 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)