Discrete Hardy spaces

Boza, Santiago; Carro, María

Studia Mathematica, Tome 129 (1998), p. 31-50 / Harvested from The Polish Digital Mathematics Library

Résumé

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.

Publié le : 1998-01-01

Zbl 0903.42011

EUDML-ID : urn:eudml:doc:216490

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     author = {Santiago Boza and Mar\'\i a Carro},
     title = {Discrete Hardy spaces},
     journal = {Studia Mathematica},
     volume = {129},
     year = {1998},
     pages = {31-50},
     zbl = {0903.42011},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-smv129i1p31bwm}
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Boza, Santiago; Carro, María. Discrete Hardy spaces. Studia Mathematica, Tome 129 (1998) pp. 31-50. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv129i1p31bwm/

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