Abstract
In this paper, we prove the generalization of Titchmarsh's theorem for the second Hankel-Clifford transform for functions satisfying the $(m, \mu, 2)$-Hankel-Clifford Lipschitz condition in the space $\mathrm{L}^{2}((0,+\infty), x^{\mu})$, where $\mu\geq 0$.
Key words: Titchmarsh's theorem, second Hankel-Clifford transform, Sobolev space.
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Article Information
| Title | On some theorems of the second Hankel-Clifford Lipschitz class |
| Source | Methods Funct. Anal. Topology, Vol. 30 (2024), no. 3-4, 123-128 |
| DOI | 10.31392/MFAT-npu26_3-4.2024.05 |
| Copyright | The Author(s) 2024 (CC BY-SA) |
Authors Information
Hala El Harrak
Mathématiques Fondamentales et Appliquees, Faculté des sciences Aïn Chock, Hassan II University of Casablanca, B.P 5366 Maarif, Casablanca, Maroc
Mohamed El Hamma
Mathématiques Fondamentales et Appliquees, Faculté des sciences Aïn Chock, Hassan II University of Casablanca, B.P 5366 Maarif, Casablanca, Maroc
Hasnaa Lahmadi
Mathématiques Fondamentales et Appliquees, Faculté des sciences Aïn Chock, Hassan II University of Casablanca, B.P 5366 Maarif, Casablanca, Maroc
Citation Example
Hala El Harrak, Mohamed El Hamma, and Hasnaa Lahmadi, On some theorems of the second Hankel-Clifford Lipschitz class, Methods Funct. Anal. Topology 30
(2024), no. 3, 123-128.
BibTex
@article {MFAT2091,
AUTHOR = {Hala El Harrak and Mohamed El Hamma and Hasnaa Lahmadi},
TITLE = {On some theorems of the second Hankel-Clifford Lipschitz class},
JOURNAL = {Methods Funct. Anal. Topology},
FJOURNAL = {Methods of Functional Analysis and Topology},
VOLUME = {30},
YEAR = {2024},
NUMBER = {3},
PAGES = {123-128},
ISSN = {1029-3531},
DOI = {10.31392/MFAT-npu26_3-4.2024.05},
URL = {https://mfat.imath.kiev.ua/article/?id=2091},
}
