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ArticleOriginal scientific text

Title

Discrete Hardy spaces

Authors 1, 2

Affiliations

  1. Departament de Matemàtica, Aplicada i Telemàtic, Universitat Politècnica de Catalunya, 08034 Barcelona, Spain.
  2. Departament de Matemàtica, Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain

Abstract

We study various characterizations of the Hardy spaces Hp(ℤ) via the discrete Hilbert transform and via maximal and square functions. Finally, we present the equivalence with the classical atomic characterization of Hp(ℤ) given by Coifman and Weiss in [CW]. Our proofs are based on some results concerning functions of exponential type.

Keywords

ENG
Hardy spaces, discrete Hilbert transform, maximal operators

Bibliography

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Studia Mathematica
1998/129/1
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Pages:
31-50
Main language of publication
English
Received
1996-11-12
Accepted
1997-10-27
Published
1998
Exact and natural sciences