The class $B_p$ for weighted generalized Fourier transform inequalities
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xmlui.dri2xhtml.METS-1.0.item-citation: Annales Universitatis Paedagogicae Cracoviensis. 160, Studia Mathematica 14 (2015), s. [121]-133
xmlui.dri2xhtml.METS-1.0.item-iso: en
Date: 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 $B_p$. As application, we obtain the Pitt’s inequality
for power weights.