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arXiv:1301.6267 [math.FA]AbstractReferencesReviewsResources

The class Bp for weighted generalized Fourier transform inequalities

Chokri Abdelkefi, Mongi Rachdi

Published 2013-01-26, updated 2015-05-18Version 2

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.

Comments: 15 pages. arXiv admin note: text overlap with arXiv:1312.3744 by other authors
Categories: math.FA
Subjects: 42B10, 46E30, 44A35
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