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Mathematics   > Home   > Advances in Pure and Applied Mathematics   > Forthcoming papers   > Article

[Forthcoming] Maximal operator in Dunkl-Fofana spaces

[Forthcoming] Les opérateurs maximaux dans les espaces de Dunkle-Fofana


POKOU NAGACY
Université Félix-Houphouët-Boigny
Côte d’Ivoire

JUSTIN FEUTO
Université Félix-Houphouët-Boigny
Côte d’Ivoire



Published on 16 September 2020   DOI :

Abstract

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We generalize Wiener amalgam spaces by using Dunkl translation instead of the classical one, and we give some relationship between these spaces, Dunkl-Lebesgue spaces and Dunkl-Morrey spaces. We prove that the Hardy-Litlewood maximal function associated with the Dunkl operators is bounded on these generalized Dunkl-Morrey spaces.

We generalize Wiener amalgam spaces by using Dunkl translation instead of the classical one, and we give some relationship between these spaces, Dunkl-Lebesgue spaces and Dunkl-Morrey spaces. We prove that the Hardy-Litlewood maximal function associated with the Dunkl operators is bounded on these generalized Dunkl-Morrey spaces.

Dunkl translation Hardy-Litlewood maximal function Dunkl-Morrey spaces

Dunkl translation Hardy-Litlewood maximal function Dunkl-Morrey spaces