AI & Computingarticle2026-09-24

Boundedness of the Hardy-Littlewood maximal operator on generalized Fofana spaces

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Abstract

We introduce generalized Fofana spaces and we give some of their basic properties. These spaces are a kind of generalization of generalized Morrey spaces. As application, we establish the boundedness of the Hardy-Littlewood maximal operator on these new spaces.

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View paper (DOI)Open access versionOpenAlexIntegral Transforms and Special FunctionsPublished 2026-09-24

Authors: Pokou Nagacy, Berenger Akon Kpata, Nouffou Diarra

Institutions: Université Félix Houphouët-Boigny, Université Nangui Abrogoua, Université Jean Lorougnon Guédé