Boundedness of Commutators Generated by the Rough Fractional Maximal Operator on Variable Exponent Central Morrey Spaces

Axioms 2026 Open access

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Authors: Yuhe Yang, Zhenzhen Yang, Suixin He
DOI: 10.3390/axioms15020100
Cited by: 0
References: 12

Abstract

In this paper, using harmonic analysis tools−including spherical harmonic decomposition of kernels, sharp maximal function estimates, and variable exponent space theory—we investigate the boundedness of the commutator [b,MΩ,β] on variable exponent central Morrey spaces, under suitable regularity conditions on the variable exponents. Here, Ω∈Ll(Sn−1) (l≥1) denotes a zero-degree homogeneous function on the unit sphere Sn−1, β satisfies 0≤β

Fields of Study & Subjects

Advanced Harmonic Analysis Research Mathematical Analysis and Transform Methods Nonlinear Partial Differential Equations

Publication details

Journal / source
Axioms
Volume
15
Issue
2
Pages
100–100
Publication date
30 January 2026
Language
EN