Discrete Hardy spaces
Tom 129 / 1998
Studia Mathematica 129 (1998), 31-50
DOI: 10.4064/sm-129-1-31-50
Streszczenie
We study various characterizations of the Hardy spaces 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.