Publication Cover
Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 4
154
Views
6
CrossRef citations to date
0
Altmetric
Articles

On the norm of the Lp-Dunkl transform

Pages 761-779 | Received 05 Aug 2013, Accepted 01 Mar 2014, Published online: 28 Mar 2014
 

Abstract

In this work, we establish a Babenko–Beckner-type inequality for the Dunkl transform of a radial function and Dunkl transform associated to a finite reflection group generated by the sign changes. As applications, we establish a new version of Young’s-type inequality and uncertainty relation for Renyi entropy.

AMS Subject Classifications:

Acknowledgments

This research is supported by NPST Program of King Saud University, project number 10-MAT1293-02. I would like to thank the anonymous referees for their helpful comments and remarks.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.