Geodesic
Riesz Potentials for the κ-Generalized Fourier Transform
Sara Oukili1 ; Mohamed Sifi1
1Laboratoire d'Analyse Mathématiques et Applications, Faculté des Sciences de Tunis, Université de Tunis El Manar, 2092 Tunis, Tunisia
Journal of Lie Theory, Tome 31 (2021) no. 1, pp. 287-300

Voir la notice de l'article provenant de la source Heldermann Verlag

We investigate the Lp-Lq boundedness properties of the Riesz potentials Iκβ and the fractional maximal function Mκ, β associated with the κ-generalized Fourier transform. As application, we establish a Welland inequality.
Classification : 42B25, 42B10
Mots-clés : Generalized Fourier transform, Riesz potentials, fractional maximal function, Welland inequality

Sara Oukili  1   ; Mohamed Sifi  1

1 Laboratoire d'Analyse Mathématiques et Applications, Faculté des Sciences de Tunis, Université de Tunis El Manar, 2092 Tunis, Tunisia 
Sara Oukili; Mohamed Sifi. Riesz Potentials for the κ-Generalized Fourier Transform. Journal of Lie Theory, Tome 31 (2021) no. 1, pp. 287-300. http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a15/
@article{JOLT_2021_31_1_a15,
     author = {Sara Oukili and Mohamed Sifi},
     title = {Riesz {Potentials} for the {\ensuremath{\kappa}-Generalized} {Fourier} {Transform}},
     journal = {Journal of Lie Theory},
     pages = {287--300},
     year = {2021},
     volume = {31},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a15/}
}
TY  - JOUR
AU  - Sara Oukili
AU  - Mohamed Sifi
TI  - Riesz Potentials for the κ-Generalized Fourier Transform
JO  - Journal of Lie Theory
PY  - 2021
SP  - 287
EP  - 300
VL  - 31
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a15/
ID  - JOLT_2021_31_1_a15
ER  - 
%0 Journal Article
%A Sara Oukili
%A Mohamed Sifi
%T Riesz Potentials for the κ-Generalized Fourier Transform
%J Journal of Lie Theory
%D 2021
%P 287-300
%V 31
%N 1
%U http://geodesic.mathdoc.fr/item/JOLT_2021_31_1_a15/
%F JOLT_2021_31_1_a15