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The class Bp for weighted generalized Fourier transform inequalities Cover
Open Access
|Dec 2015

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.

DOI: https://doi.org/10.1515/aupcsm-2015-0009 | Journal eISSN: 2300-133X | Journal ISSN: 2081-545X
Language: English
Page range: 121 - 133
Submitted on: Jan 22, 2015
Published on: Dec 30, 2015
Published by: Pedagogical University of Cracow
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2015 Chokri Abdelkefi, Mongi Rachdi, published by Pedagogical University of Cracow
This work is licensed under the Creative Commons Attribution-ShareAlike 4.0 License.