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.
@article{AUPCM_2015_14_a8,
author = {Abdelkefi, Chokri and Rachdi, Mongi},
title = {The class {B<sub>p</sub>for} weighted generalized {Fourier} transform inequalities},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
year = {2015},
number = {14},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a8/}
}
TY - JOUR AU - Abdelkefi, Chokri AU - Rachdi, Mongi TI - The class B<sub>p</sub>for weighted generalized Fourier transform inequalities JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica PY - 2015 IS - 14 UR - http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a8/ LA - en ID - AUPCM_2015_14_a8 ER -
%0 Journal Article %A Abdelkefi, Chokri %A Rachdi, Mongi %T The class B<sub>p</sub>for weighted generalized Fourier transform inequalities %J Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica %D 2015 %N 14 %U http://geodesic.mathdoc.fr/item/AUPCM_2015_14_a8/ %G en %F AUPCM_2015_14_a8
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/