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Turkish Journal of Mathematics

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

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