Boas-type theorems for the Sturm-Liouville transform
We introduce generalized Lipschitz classes $\mbox{Lip}_k(\beta)$ and $\mbox{lip}_k(\beta)$ of functions associated with the Sturm-Liouville operator $L$; and we prove two versions of Boas-type theorems for the Sturm-Liouville transform $\mathscr{F}$. An application to Sturm-Liouville multipliers is given.
Authors
- Fethi Soltani (ORCID: https://orcid.org/0000-0001-7519-0994)
- Maher Aloui (ORCID: https://orcid.org/0009-0007-6380-0979)
Publication Details
- Journal
- Hacettepe Journal of Mathematics and Statistics
- Published
- 2026-08-17
- DOI
- https://doi.org/10.15672/hujms.1592899
- Primary Topic
- Spectral Theory in Mathematical Physics
- Type
- article
- Field-Weighted Citation Impact
- 0.00