Total Fofana-Guliyev Spaces with Applications to Norm Inequalities for Classical Operators

Document Type : Original Article

Authors

Bérenger Akon Kpata ¹

Pokou Nagacy ²

¹ Laboratoire de Mathématiques et Informatique, UFR Sciences Fondamentales et Appliquées, Université Nangui Abrogoua, Côte d'Ivoire

² Laboratoires des Sciences et Technologies de l'Environnement, UFR Environnement, Université Jean Lorougnon GUEDE, Côte d'Ivoire

10.22034/kjm.2025.528689.3573

Abstract

In this paper, we introduce a variant of Fofana spaces called total Fofana-Guliyev spaces. These spaces are closely related to total Morrey spaces. We give some of their basic properties. As applications, we establish norm inequalities for classical operators in these spaces, namely the Hardy-Littlewood maximal operator, fractional integral operators and fractional maximal operators.

Keywords

amalgam spaces

total Fofana-Guliyev spaces

fractional integral operator

Hardy-Littlewood-maximal operator

fractional maximal operator

Subjects

• 42 Harmonic analysis on Euclidean spaces

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