Boundedness of commutators of variable Marcinkiewicz fractional integral operator in grand variable Herz spaces

Abstract Let S n − 1 $\mathbb{S}^{n-1}$ denote unit sphere in R n $\mathbb{R}^{n}$ equipped with the normalized Lebesgue measure. Let Φ ∈ L s ( S n − 1 ) $\Phi \in L^{s}(\mathbb{S}^{n-1})$ be a homogeneous function of degree zero such that ∫ S n − 1 Φ ( y ′ ) d σ ( y ′ ) = 0 $\int _{\mathbb{S}^{n-1}...

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Bibliographic Details
Published in:Journal of Inequalities and Applications
Main Authors: Babar Sultan, Mehvish Sultan, Aziz Khan, Thabet Abdeljawad
Format: Article
Language:English
Published: SpringerOpen 2024-07-01
Subjects:
Online Access:https://doi.org/10.1186/s13660-024-03169-3