© 2018 Elsevier Masson SAS 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.
- Fourier coefficients
- Hardy–Littlewood theorem
- Hausdorff operators
- Pitt's inequality
Dyachenko, M., Nursultanov, E., & Tikhonov, S. (2018). Hardy–Littlewood and Pitt's inequalities for Hausdorff operators. Bulletin des Sciences Mathematiques, 147, 40-57. https://doi.org/10.1016/j.bulsci.2018.06.003