Journals / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 1
Good modulating sequences for the ergodic Hilbert transform
- Pages
- 124–138
- DOI
- —
Abstract
This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in Lp-spaces, 2 \leq p \leq \infty. The class of bounded Besicovitch sequences satisfying a rate condition is among such sequence classes.
Özet
This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in Lp-spaces, 2 \leq p \leq \infty. The class of bounded Besicovitch sequences satisfying a rate condition is among such sequence classes.