Necessary and sufficient conditions for boundedness of commutators of multi-sublinear maximal functions

In this paper, we investigated two different kinds of commutators associated with the multi-sublinear maximal function $\mathcal{M}_{\alpha}$ when symbol functions belong to Lipschitz spaces. We give some necessary and sufficient conditions for the boundedness of these two different kinds of commutators on the products of Slice space.

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Publication Details

Journal
Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science
Published
2025-09-15
DOI
https://doi.org/10.59277/pra-ser.a.26.2.05
Primary Topic
Advanced Harmonic Analysis Research
Type
article
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article

Necessary and sufficient conditions for boundedness of commutators of multi-sublinear maximal functions

Fengyu XUE
Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science
Advanced Harmonic Analysis Research
article

Necessary and sufficient conditions for boundedness of commutators of multi-sublinear maximal functions

Fengyu XUE
article en

Abstract

In this paper, we investigated two different kinds of commutators associated with the multi-sublinear maximal function $\mathcal{M}_{\alpha}$ when symbol functions belong to Lipschitz spaces. We give some necessary and sufficient conditions for the boundedness of these two different kinds of commutators on the products of Slice space.

Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information ScienceVol. 26(2)
Openalex Percentile: Top 63%
Advanced Harmonic Analysis Research
DOIOpen Access PDFOpenAlex
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Necessary and sufficient conditions for boundedness of commutators of multi-sublinear maximal functions — Fengyu XUE · Proceedings of the Romanian Academy Series A Mathematics Physics Technical Sciences Information Science (2025) | TGRS Research Map | TGRS