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Research Article | Open Access

Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent

Babar Sultan1, Mehvish Sultan2, Mazhar Mehmood3, Fatima Azmi4, Maryam Ali Alghafli4, Nabil Mlaiki4( )
Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
Department of Mathematics, Government Post Graduate College Haripur 22620, KPK, Pakistan
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
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Abstract

In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.

Keywords

fractional integralsgrand Herz spacesweighted Herz spacesgrand weighted Herz spaces
CLC number: Primary 46E30, Secondary 47B38

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AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 752-764
DOI: 10.3934/math.2023036

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Cite this article:
Sultan B, Sultan M, Mehmood M, et al. Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent. AIMS Mathematics, 2023, 8(1): 752-764. https://doi.org/10.3934/math.2023036

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Received: 21 August 2022
Revised: 22 September 2022
Accepted: 22 September 2022
Published: 15 January 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)