A note about the discrete Riesz potential on $\mathbb{Z}^n$
Abstract
In this note, we prove that the discrete Riesz potential $I_{\alpha}$ defined on $\mathbb{Z}^n$ is a bounded operator $H^p(\mathbb{Z}^n)\to\ell^q(\mathbb{Z}^n)$ for $0
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Mathematical Analysis and Transform Methods
Approximation Theory and Sequence Spaces
Publication details
- Journal / source
- Publicationes Mathematicae Debrecen
- Volume
- 108
- Issue
- 1-2
- Pages
- 87–97
- Publication date
- 1 January 2026
- Language
- EN