Integrability of the Fourier transform via Riesz derivative
Abstract
Abstract A known condition for the integrability of the one-dimensional Fourier transform, in which the derivative is assumed to belong to the real Hardy space, is extended to the $n$ -dimensional case, in terms of the $n$ -th Riesz derivative. We obtain results for the Riesz derivatives of other orders. The function spaces involved in this study are compared and analyzed.
Fields of Study & Subjects
Advanced Harmonic Analysis Research
Holomorphic and Operator Theory
Mathematical Analysis and Transform Methods
Publication details
- Journal / source
- Glasgow Mathematical Journal
- Publisher
- Cambridge University Press (CUP)
- Pages
- 1–8
- Publication date
- 29 May 2026
- Language
- EN