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Research Article | Open Access

BMO estimates for commutators of the rough fractional Hausdorff operator on grand-variable-Herz-Morrey spaces

Javeria Younas1, Amjad Hussain1( ), Hadil Alhazmi2, A. F. Aljohani3, Ilyas Khan4( )
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia
Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia
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Abstract

In this paper, we study the boundedness of the commutator of the rough fractional Hausdorff operator on grand-variable-Herz-Morrey spaces when the symbol functions belong to bounded mean oscillations (BMO) space.

Keywords

BMO spacecommutatorHousdorff operatorGrand-Variable-Herz-Morrey space
CLC number: 26D10, 47B47, 47G10

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AIMS Mathematics
Volume 9 Issue 9,
September 2024
Pages 23434-23448
DOI: 10.3934/math.20241139

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Younas J, Hussain A, Alhazmi H, et al. BMO estimates for commutators of the rough fractional Hausdorff operator on grand-variable-Herz-Morrey spaces. AIMS Mathematics, 2024, 9(9): 23434-23448. https://doi.org/10.3934/math.20241139

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Received: 27 May 2024
Revised: 29 June 2024
Accepted: 02 July 2024
Published: 15 September 2024
©2024 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)