The class Bpfor weighted generalized Fourier transform inequalities

Chokri Abdelkefi; Mongi Rachdi

Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica (2015)

  • Volume: 14, page 121-133
  • ISSN: 2300-133X

Abstract

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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.

How to cite

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Chokri Abdelkefi, and Mongi Rachdi. "The class Bpfor weighted generalized Fourier transform inequalities." Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica 14 (2015): 121-133. <http://eudml.org/doc/276423>.

@article{ChokriAbdelkefi2015,
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.},
author = {Chokri Abdelkefi, Mongi Rachdi},
journal = {Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica},
keywords = {Dunkl transform; weighted inequalities; Pitt's inequality},
language = {eng},
pages = {121-133},
title = {The class Bpfor weighted generalized Fourier transform inequalities},
url = {http://eudml.org/doc/276423},
volume = {14},
year = {2015},
}

TY - JOUR
AU - Chokri Abdelkefi
AU - Mongi Rachdi
TI - The class Bpfor weighted generalized Fourier transform inequalities
JO - Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica
PY - 2015
VL - 14
SP - 121
EP - 133
AB - 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.
LA - eng
KW - Dunkl transform; weighted inequalities; Pitt's inequality
UR - http://eudml.org/doc/276423
ER -

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