Mathematics > Home > Advances in Pure and Applied Mathematics > Issue 2 (May 2021) > Article
POKOU NAGACY
Université Félix-Houphouët-Boigny
Côte d’Ivoire
JUSTIN FEUTO
Université Félix-Houphouët-Boigny
Côte d’Ivoire
Published on 26 April 2021 DOI : 10.21494/ISTE.OP.2021.0647
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