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

Babar Sultan; Mehvish Sultan; Mazhar Mehmood; Fatima Azmi; Maryam Ali Alghafli; Nabil Mlaiki; Babar Sultan; Mehvish Sultan; Mazhar Mehmood; Fatima Azmi; Maryam Ali Alghafli; Nabil Mlaiki

doi:10.3934/math.2023036

AIMS Mathematics

2023, Volume 8, Issue 1: 752-764. doi: 10.3934/math.2023036

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Research article

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

1.
Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
2.
Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
3.
Department of Mathematics, Government Post Graduate College Haripur 22620, KPK, Pakistan
4.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Received: 21 August 2022 Revised: 22 September 2022 Accepted: 22 September 2022 Published: 12 October 2022
MSC : Primary 46E30, Secondary 47B38

In this paper, we introduce grand weighted Herz spaces with variable exponent and prove the boundedness of fractional integrals on these spaces.
- fractional integrals,
- grand Herz spaces,
- weighted Herz spaces,
- grand weighted Herz spaces
Citation: Babar Sultan, Mehvish Sultan, Mazhar Mehmood, Fatima Azmi, Maryam Ali Alghafli, Nabil Mlaiki. Boundedness of fractional integrals on grand weighted Herz spaces with variable exponent[J]. AIMS Mathematics, 2023, 8(1): 752-764. doi: 10.3934/math.2023036

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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.

References

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