Journal of Lie Theory

no. 1
Riesz Potentials for the κ-Generalized Fourier Transform
Journal of Lie Theory, Volume 31 (2021) no. 1, pp. 287-300
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.
DOI: 10.5802/jolt.1171
Classification: 42B25, 42B10
Keywords: Generalized Fourier transform, Riesz potentials, fractional maximal function, Welland inequality 
@article{JOLT_2021_31_1_a15,
     author = {S. Oukili and M. 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},
     doi = {10.5802/jolt.1171},
     zbl = {1461.42013},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1171/}
}
TY  - JOUR
AU  - S. Oukili
AU  - M. 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  - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1171/
DO  - 10.5802/jolt.1171
ID  - JOLT_2021_31_1_a15
ER  - 
%0 Journal Article
%A S. Oukili
%A M. 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 https://jolt.centre-mersenne.org/articles/10.5802/jolt.1171/
%R 10.5802/jolt.1171
%F JOLT_2021_31_1_a15
S. Oukili; M. Sifi. Riesz Potentials for the κ-Generalized Fourier Transform. Journal of Lie Theory, Volume 31 (2021) no. 1, pp. 287-300. doi: 10.5802/jolt.1171

Cited by Sources: