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.

DOI

10.3906/mat-1311-29

Keywords

Hilbert transform, bounded Besicovitch sequences, modulating sequences

First Page

124

Last Page

138

Recommended Citation

AKHMEDOV, A, & ÇÖMEZ, D (2015). Good modulating sequences for the ergodic Hilbert transform. Turkish Journal of Mathematics 39 (1): 124-138. https://doi.org/10.3906/mat-1311-29

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