English

The class Bp for weighted generalized Fourier transform inequalities

Functional Analysis 2015-05-19 v2

Abstract

In the present paper, we prove for the Dunkl transform which generalizes the Fourier transform, weighted inequalities when the weights belong to the well known class Bp. As application, we obtain for power weights Pitt's inequality.

Cite

@article{arxiv.1301.6267,
  title  = {The class Bp for weighted generalized Fourier transform inequalities},
  author = {Chokri Abdelkefi and Mongi Rachdi},
  journal= {arXiv preprint arXiv:1301.6267},
  year   = {2015}
}

Comments

15 pages. arXiv admin note: text overlap with arXiv:1312.3744 by other authors

R2 v1 2026-06-21T23:15:46.983Z