The class Bpfor weighted generalized Fourier transform inequalities
Chokri Abdelkefi, Mongi Rachdi (2015)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
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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.