Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent

Babar Sultan; Fatima M. Azmi; Mehvish Sultan; Tariq Mahmood; Nabil Mlaiki; Nizar Souayah

doi:10.3390/fractalfract6110660

Fractal and Fractional (Nov 2022)

Boundedness of Fractional Integrals on Grand Weighted Herz–Morrey Spaces with Variable Exponent

Babar Sultan,
Fatima M. Azmi,
Mehvish Sultan,
Tariq Mahmood,
Nabil Mlaiki,
Nizar Souayah

Affiliations

Babar Sultan: Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
Fatima M. Azmi: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Mehvish Sultan: Department of Mathematics, Capital University of Science and Technology, Islamabad 44000, Pakistan
Tariq Mahmood: Department of Mathematics, University of Chakwal, Chakwal 48800, Pakistan
Nabil Mlaiki: Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
Nizar Souayah: Department of Natural Sciences, Community College Al-Riyadh, King Saud University, Riyadh 11451, Saudi Arabia

DOI: https://doi.org/10.3390/fractalfract6110660
Journal volume & issue: Vol. 6, no. 11
p. 660

Abstract

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

Published in Fractal and Fractional

ISSN: 2504-3110 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Physics: Heat: Thermodynamics; Science: Mathematics: Analysis
Website: http://www.mdpi.com/journal/fractalfract

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