Tohoku Mathematical Journal

Riesz transform characterization of Hardy spaces associated with certain Laguerre expansions

Jorge Betancor, Jacek Dziubański, and Gustavo Garrigós

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Abstract

In this paper we prove Riesz transform characterizations for Hardy spaces associated with certain systems of Laguerre functions.

Article information

Source
Tohoku Math. J. (2), Volume 62, Number 2 (2010), 215-231.

Dates
First available in Project Euclid: 23 June 2010

Permanent link to this document
https://projecteuclid.org/euclid.tmj/1277298646

Digital Object Identifier
doi:10.2748/tmj/1277298646

Mathematical Reviews number (MathSciNet)
MR2663454

Zentralblatt MATH identifier
1208.42009

Subjects
Primary: 42B30: $H^p$-spaces
Secondary: 42C10: Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.)

Keywords
Hardy space Laguerre system Riesz transform

Citation

Betancor, Jorge; Dziubański, Jacek; Garrigós, Gustavo. Riesz transform characterization of Hardy spaces associated with certain Laguerre expansions. Tohoku Math. J. (2) 62 (2010), no. 2, 215--231. doi:10.2748/tmj/1277298646. https://projecteuclid.org/euclid.tmj/1277298646


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References

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Tohoku University, Mathematical Institute

Tohoku Mathematical Journal

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