Fourth Edition of the International Conference on Research in Applied Mathematics and Computer Science ICRAMCS 2022
 March 24-25-26, 2022
Online and Face-to-Face Conference

ICRAMCS, 4 (2022) | Proceedings ISSN: 2605-7700

Research Communication | Open Access
Volume 2022 | Communication ID 517
On estimates for the first Hankel-Clifford transform
Hasnaa Lahmadi
Academic Editor: Youssef EL FOUTAYENI
Received
Accepted
Published
February 12, 2022
March 03, 2420
April 15, 2420

Abstract: In this work, we obtain new inequalities for the first Hankel-Clifford transform in the space L^2 ((0, +∞), x µ), µ ≥ 0, using a generalized translation operator for proving these estimates in certain classes of functions characterized by a generalized continuity modulus. In [1,2], Abilov et al. proved two estimates for the Fourier transform and for the Bessel transform on certain classes of functions characterized by the generalized continuity modulus. In this work, we prove the generalization of Abilov’s results in the first Hankel-Clifford transform on the interval (0,+∞). For ...