Boundedness of some operators on grand Herz spaces with variable exponent

Mehvish Sultan; Babar Sultan; Ahmad Aloqaily; Nabil Mlaiki; Mehvish Sultan; Babar Sultan; Ahmad Aloqaily; Nabil Mlaiki

doi:10.3934/math.2023653

AIMS Mathematics

2023, Volume 8, Issue 6: 12964-12985. doi: 10.3934/math.2023653

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Boundedness of some operators on grand Herz spaces with variable exponent

1.
Department of Mathematics, Capital University Of Science and Technology, Islamabad, Pakistan
2.
Department of Mathematics, Quaid-I-Azam University, Islamabad 45320, Pakistan
3.
Department of Mathematics and Sciences, Prince Sultan University. Riyadh, 11586 Saudi Arabia
4.
School of computer, Data and Mathematical Sciences, Western Sydney University, Australia-Sydney-2150

Received: 18 November 2022 Revised: 25 February 2023 Accepted: 17 March 2023 Published: 31 March 2023
MSC : 46E30, 47B38

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 $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying some properties of variable exponent.
- Intrinsic square function,
- fractional integrals,
- BMO spaces,
- grand Lebesgue spaces,
- grand Herz spaces
Citation: Mehvish Sultan, Babar Sultan, Ahmad Aloqaily, Nabil Mlaiki. Boundedness of some operators on grand Herz spaces with variable exponent[J]. AIMS Mathematics, 2023, 8(6): 12964-12985. doi: 10.3934/math.2023653

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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 $ {\dot{K} ^{a(\cdot), u), \theta}_{ s(\cdot)}(\mathbb{R}^n)} $ by applying some properties of variable exponent.

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