<abstract xmlns="http://www.w3.org/1999/xhtml">

 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.
</abstract>

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.

The class Bp for weighted generalized Fourier transform inequalities

Institute of Engineer Studies of Tunis 1089 Monfleury Tunis University of Tunis Tunisia

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.

The class B for weighted generalized Fourier transform inequalities

In the present paper, we prove weighted inequalities for the Dunkl transform (which generalizes the Fourier transform) when the weights belong to the...

The class B_p for weighted generalized Fourier transform inequalities

Published Online: Dec 30, 2015

Page range: 121 - 133

Received: Jan 22, 2015

DOI: https://doi.org/10.1515/aupcsm-2015-0009

© by Chokri Abdelkefi

This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 International License.