Geodesic
The class B<sub>p</sub>for weighted generalized Fourier transform inequalities
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 14 (2015).

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In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the well-known class Bp. As application, we obtain the Pitt’s inequality for power weights. 
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     author = {Abdelkefi, Chokri and Rachdi, Mongi},
     title = {The class {B&lt;sub&gt;p&lt;/sub&gt;for} weighted generalized {Fourier} transform inequalities},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
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Abdelkefi, Chokri; Rachdi, Mongi. The class B<sub>p</sub>for weighted generalized Fourier transform inequalities. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, no. 14 (2015). http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a8/