Title of article :
Good modulating sequences for the ergodic Hilbert transform
Author/Authors :
AKHMEDOV, AZER North Dakota State University - Department of Mathematics, USA , ÇÖMEZ, DOĞAN North Dakota State University - Department of Mathematics, USA
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
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
