The class Bpfor weighted generalized Fourier transform inequalities
Chokri Abdelkefi ; Mongi Rachdi
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 14 (2015), / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:276423 
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     author = {Chokri Abdelkefi and Mongi Rachdi},
     title = {The class Bpfor weighted generalized Fourier transform inequalities},
     journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
     volume = {14},
     year = {2015},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2015-0009}
}

Chokri Abdelkefi; Mongi Rachdi. The class Bpfor weighted generalized Fourier transform inequalities. Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica, Tome 14 (2015) . http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_aupcsm-2015-0009/