Turkish Journal of Mathematics
DOI
10.3906/mat-1311-29
Abstract
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.
Keywords
Hilbert transform, bounded Besicovitch sequences, modulating sequences
First Page
124
Last Page
138
Recommended Citation
AKHMEDOV, AZER and ÇÖMEZ, DOĞAN
(2015)
"Good modulating sequences for the ergodic Hilbert transform,"
Turkish Journal of Mathematics: Vol. 39:
No.
1, Article 12.
https://doi.org/10.3906/mat-1311-29
Available at:
https://journals.tubitak.gov.tr/math/vol39/iss1/12
