The class Bp for weighted generalized Fourier transform inequalities

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica

Chokri Abdelkefi¹  Mongi Rachdi¹ 

[1] Institute of Engineer Studies of Tunis 1089 Monfleury Tunis University of Tunis Tunisia;

关键词: Dunkl operators;    Dunkl transform;    class Bp;    Pitt's inequality;   

DOI  :  10.1515/aupcsm-2015-0009

来源: DOAJ

【 摘 要 】

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’sinequality for power weights

【 授权许可】

Unknown