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Boas-type theorems for the Sturm-Liouville transform

Year: 2026

Type: article

Abstract: 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.

Source: Hacettepe Journal of Mathematics and Statistics

DOI: 10.15672/hujms.1592899

Authors: Fethi Soltani, Maher Aloui

Institution: Tunis University

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W7203629579

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Cites: 1

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