Fractional deformed Laplace operator and applications
Abstract
In this article, we introduce the generalized Riesz potentials associated to the deformed Hankel transform, we investigate their Lp-Lq boundedness properties. We define and we study the fractional deformed Laplace operator. In particular, we prove a Caffarelli-Silvestre type relation for the proposed fractional operator through an extension problem. Next, we derive some results for the fractional deformed Laplace operator via the Mellin transform.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Mathematical Analysis and Transform Methods
Fractional Differential Equations Solutions
Publication details
- Journal / source
- Applicable Analysis
- Volume
- 105
- Issue
- 11
- Pages
- 2281–2324
- Publication date
- 18 January 2026
- Language
- EN