| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 8905227 | Bulletin des Sciences Mathématiques | 2018 | 18 Pages |
Abstract
In this paper we study transformed trigonometric series with Hausdorff averages of Fourier coefficients. We prove Hardy-Littlewood and Pitt's inequalities for such series. The corresponding results for the Hausdorff averages of the Fourier transforms are also obtained.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
M. Dyachenko, E. Nursultanov, S. Tikhonov,