This article investigates classes of bounded sequences of complex numbers that are universally good for the ergodic Hilbert transform in L_p-spaces, 2 \leq p \leq \infty. The class of bounded Besicovitch sequences satisfying a rate condition is among such sequence classes.
AKHMEDOV, AZER and ÇÖMEZ, DOĞAN
"Good modulating sequences for the ergodic Hilbert transform,"
Turkish Journal of Mathematics: Vol. 39:
1, Article 12.
Available at: https://journals.tubitak.gov.tr/math/vol39/iss1/12