Geodesic
Discrete Hardy spaces
Studia Mathematica, Tome 129 (1998) no. 1, pp. 31-50

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-129-1-31-50
Keywords: Hardy spaces, discrete Hilbert transform, maximal operators

Santiago Boza 1 ;  1

1 
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Santiago Boza;  . Discrete Hardy spaces. Studia Mathematica, Tome 129 (1998) no. 1, pp. 31-50. doi: 10.4064/sm-129-1-31-50

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