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Research Article | Open Access

Boundedness of some operators on grand Herz spaces with variable exponent

Mehvish Sultan1, Babar Sultan2, Ahmad Aloqaily3,4( ), Nabil Mlaiki3
Department of Mathematics, Capital University Of Science and Technology, Islamabad, Pakistan
Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
Department of Mathematics and Sciences, Prince Sultan University. Riyadh, 11586 Saudi Arabia
School of computer, Data and Mathematical Sciences, Western Sydney University, Australia-Sydney-2150
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Abstract

Our aim in this paper is to prove boundedness of an intrinsic square function and higher order commutators of fractional integrals on grand Herz spaces with variable exponent K ˙ s ( ⋅ ) a ( ⋅ ) , u ) , θ ( R n ) by applying some properties of variable exponent.

Keywords

Intrinsic square functionfractional integralsBMO spacesgrand Lebesgue spacesgrand Herz spaces
CLC number: 46E30, 47B38

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AIMS Mathematics
Volume 8 Issue 6,
June 2023
Pages 12964-12985
DOI: 10.3934/math.2023653

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Cite this article:
Sultan M, Sultan B, Aloqaily A, et al. Boundedness of some operators on grand Herz spaces with variable exponent. AIMS Mathematics, 2023, 8(6): 12964-12985. https://doi.org/10.3934/math.2023653

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Received: 18 November 2022
Revised: 25 February 2023
Accepted: 17 March 2023
Published: 15 June 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)