## Journals

- Advances in Mathematics of Communications
- Big Data & Information Analytics
- Communications on Pure & Applied Analysis
- Discrete & Continuous Dynamical Systems - A
- Discrete & Continuous Dynamical Systems - B
- Discrete & Continuous Dynamical Systems - S
- Evolution Equations & Control Theory
- Inverse Problems & Imaging
- Foundations of Data Science
- Journal of Computational Dynamics
- Journal of Dynamics & Games
- Journal of Geometric Mechanics
- Journal of Industrial & Management Optimization
- Journal of Modern Dynamics
- Kinetic & Related Models
- Mathematical Biosciences & Engineering
- Mathematical Control & Related Fields
- Mathematical Foundations of Computing
- Networks & Heterogeneous Media
- Numerical Algebra, Control & Optimization
- AIMS Mathematics
- Conference Publications
- Electronic Research Announcements
- Mathematics in Engineering

### Open Access Journals

DCDS-S

In this article we study the
ergodic Hilbert transform modulated by bounded sequences.
We prove that sequences satisfying some variation
conditions and are universally good for
ordinary ergodic averages, such as the sequences defined by
the Fourier coefficients of $L_p$ functions, are universally good
modulating sequences for the ergodic Hilbert transform.
We also prove that sequences belonging to the subfamily $B_1^{\alpha} $
of the two-sided bounded Besicovitch class $B_1$ are good modulating
sequences for the ergodic Hilbert transform.

## Year of publication

## Related Authors

## Related Keywords

[Back to Top]