Journal of Lie Theory

no. 4
Riesz Potentials and Fractional Maximal Function for the Dunkl Transform
Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 725-734
We investigate the $L^p \rightarrow L^q$ boundedness properties of the Riesz potentials $I_{\alpha}^{\kappa}$ and the related fractional maximal function $M_{\kappa,\alpha}$ associated to the Dunkl transform.
DOI: 10.5802/jolt.577
Classification: 33C52, 43A32, 33C80, 22E30
Keywords: Riesz potentials, Fractional maximal function 
@article{JOLT_2009_19_4_a5,
     author = {S. Hassani and S. Mustapha and M. Sifi},
     title = {Riesz {Potentials} and {Fractional} {Maximal} {Function} for the {Dunkl} {Transform}},
     journal = {Journal of Lie Theory},
     pages = {725--734},
     year = {2009},
     volume = {19},
     number = {4},
     doi = {10.5802/jolt.577},
     zbl = {1183.33022},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.577/}
}
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S. Hassani; S. Mustapha; M. Sifi. Riesz Potentials and Fractional Maximal Function for the Dunkl Transform. Journal of Lie Theory, Volume 19 (2009) no. 4, pp. 725-734. doi: 10.5802/jolt.577

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