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

doi:10.3934/math.20241139

AIMS Mathematics (Aug 2024)

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

Affiliations

Javeria Younas: 1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
Amjad Hussain: 1. Department of Mathematics, Quaid-I-Azam University 45320, Islamabad 44000, Pakistan
Hadil Alhazmi: 2. Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
A. F. Aljohani: 3. Department of Mathematics, Faculty of Science, University of Tabuk, Tabuk, Saudi Arabia
Ilyas Khan: 4. Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Majmaah 11952, Saudi Arabia

DOI: https://doi.org/10.3934/math.20241139
Journal volume & issue: Vol. 9, no. 9
pp. 23434 – 23448

Abstract

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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.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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