Good modulating sequences for the ergodic Hilbert transform

Authors: AZER AKHMEDOV, DOĞAN ÇÖMEZ

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

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