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

Javeria Younas; Amjad Hussain; Hadil Alhazmi; A. F. Aljohani; Ilyas Khan; Javeria Younas; Amjad Hussain; Hadil Alhazmi; A. F. Aljohani; Ilyas Khan

doi:10.3934/math.20241139

AIMS Mathematics

2024, Volume 9, Issue 9: 23434-23448. doi: 10.3934/math.20241139

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

1.
Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
2.
Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
3.
Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia
4.
Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

Received: 27 May 2024 Revised: 29 June 2024 Accepted: 02 July 2024 Published: 05 August 2024
MSC : 26D10, 47B47, 47G10

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.
- BMO space,
- commutator,
- Housdorff operator,
- Grand-Variable-Herz-Morrey space
Citation: Javeria Younas, Amjad Hussain, Hadil Alhazmi, A. F. Aljohani, Ilyas Khan. BMO estimates for commutators of the rough fractional Hausdorff operator on grand-variable-Herz-Morrey spaces[J]. AIMS Mathematics, 2024, 9(9): 23434-23448. doi: 10.3934/math.20241139

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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.

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