Boundedness of Some Commutators in Total Fofana Spaces

In this paper, we find necessary and sufficient conditions for the boundedness of the commutator of the Hardy-Littlewood maximal operator in total Fofana spaces. We also give in these spaces the boundedness of some sublinear operators and their commutators.

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Publication Details

Journal
European Journal of Mathematical Analysis
Published
2024-11-13
DOI
https://doi.org/10.28924/ada/ma.4.22
Primary Topic
Advanced Banach Space Theory
Type
article
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article

Boundedness of Some Commutators in Total Fofana Spaces

Pokou Nagacy
European Journal of Mathematical Analysis
Advanced Banach Space Theory
article

Boundedness of Some Commutators in Total Fofana Spaces

Pokou Nagacy
article en

Abstract

In this paper, we find necessary and sufficient conditions for the boundedness of the commutator of the Hardy-Littlewood maximal operator in total Fofana spaces. We also give in these spaces the boundedness of some sublinear operators and their commutators.

European Journal of Mathematical AnalysisVol. 4
Université Jean Lorougnon Guédé (CI)
Openalex Percentile: Top 66%
Advanced Banach Space Theory
DOIOpen Access PDFOpenAlex
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Boundedness of Some Commutators in Total Fofana Spaces — Pokou Nagacy · European Journal of Mathematical Analysis (2024) | TGRS Research Map | TGRS