Research Communication | Open Access
Volume 2021 | Communication ID 189
Volume 2021 | Communication ID 189
| The Deformed Hankel Transform Of Dini-Lipschitz Functions |
El Mehdi Loualid, Abdelghani Elgargati, Radouan Daher
Received |
Accepted |
Published |
January 30, 2021 |
February 15, 2021 |
March 15, 2021 |
Abstract: In our present paper, by using a generalized of the symmetric difference $\Delta_{h}^{m}$ of order $m$ and step $h>0$, we obtain a analog of Titchmarsh theorems \cite[Theorem 84, Theorem 85]{a10} for deformed Hankel transform. Next, we provide a further extension of the theorem cited above for functions in $L_k^{p}$ with an abstract deformed Hankel-Dini-Lipschitz condition.