Discrete Hardy spaces
Volume 129 / 1998
Studia Mathematica 129 (1998), 31-50
DOI: 10.4064/sm-129-1-31-50
Abstract
We study various characterizations of the Hardy spaces $H^p(ℤ)$ via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of $H^p(ℤ)$ given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type.
