A+ CATEGORY SCIENTIFIC UNIT

Discrete Hardy spaces

Volume 129 / 1998

Santiago Boza, 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.

Authors

  • Santiago Boza

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