On the norm of the Lp-Dunkl transform |
| |
| Authors: | Fethi Bouzeffour |
| |
| Institution: | 1. Department of Mathematics, College of Sciences, King Saud University, P.O. Box 2455 Riyadh 11451, Saudi Arabia.fbouzaffour@ksu.edu.sa |
| |
| 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. |
| |
| Keywords: | Fourier transform Dunkl operator Babenko inequality Renyi entropy |
|
|
