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math.FA2013★ 1 cited
Some properties of the Riesz potentials in Dunkl analysis
Chokri Abdelkefi, Mongi Rachdi
In Dunkl theory on Rd which generalizes classical Fourier analysis, we study first the behavior at infinity of the Riesz potential of a non compactly supported function. Second, we…
math.AP2013
Classes of operators on weighted function spaces in Dunkl analysis
Chokri Abdelkefi, Mongi Rachdi
For indices p and q, 1 < p <= q < infini and a linear operator L satisfying some weak-type boundedness conditions on suitable function spaces, we give in the Dunkl setting sufficie…
math.FA2013
The class Bp for weighted generalized Fourier transform inequalities
Chokri Abdelkefi, Mongi Rachdi
In the present paper, we prove for the Dunkl transform which generalizes the Fourier transform, weighted inequalities when the weights belong to the well known class Bp. As applica…