| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8899234 | Journal of Mathematical Analysis and Applications | 2018 | 19 Pages |
Abstract
We obtain new conditions on periodic integrable functions so that their transformed Fourier series belong to Lp. This improves the classical Hardy and Bellman results. A counterpart for the Fourier transforms is also established. Our main tool is a new extension of the Hausdorff-Young-Paley inequality for Fourier transforms.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
M. Dyachenko, E. Nursultanov, S. Tikhonov,