Hostname: page-component-78c5997874-g7gxr Total loading time: 0 Render date: 2024-11-17T19:54:41.308Z Has data issue: false hasContentIssue false
  • English
  • Français

Hardy spaces on ZN

Published online by Cambridge University Press:  12 July 2007

Santiago Boza  and
María J. Carro
Santiago Boza
Affiliation:
Departament de Matemàtica Aplicada IV, EUPVG Avda. Victor Balaguer s/n, 08800 Vilanova I Geltrú, Spain ([email protected])
María J. Carro
Affiliation:
Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, 08071 Barcelona, Spain ([email protected])
Get access Rights & Permissions [Opens in a new window]

Abstract

The work of Coifman and Weiss concerning Hardy spaces on spaces of homogeneous type gives, as a particular case, a definition of Hp(ZN) in terms of an atomic decomposition.

Other characterizations of these spaces have been studied by other authors, but it was an open question to see if they can be defined, as it happens in the classical case, in terms of a maximal function or via the discrete Riesz transforms.

In this paper, we give a positive answer to this question.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 1 , February 2002 , pp. 25 - 43
Copyright
Copyright © Royal Society of Edinburgh 2002

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)