Good Modulating Sequences for the Ergodic Hilbert Transform
arXiv:1307.7655
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.
arXiv comment14 pages