Riesz transform characterization of Hardy spaces associated with certain Laguerre expansions

DOI10.2748/TMJ/1277298646zbMath1208.42009OpenAlexW2079817701MaRDI QIDQ991727

Gustavo Garrigós, Jacek Dziubański, Jorge J. Betancor

Publication date: 7 September 2010

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1277298646

zbMATH Keywords

Hardy spacesRiesz transformLaguerre system

Mathematics Subject Classification ID

Function spaces arising in harmonic analysis (42B35) (H^p)-spaces (42B30)

Related Items (4)

Riesz transform characterizations for multidimensional Hardy spaces ⋮ Molecular decompositions of homogeneous Besov type spaces for Laguerre function expansions and applications ⋮ Area Littlewood-Paley functions associated with Hermite and Laguerre operators ⋮ Riesz transform characterization of \(H^1\) spaces associated with certain Laguerre expansions

Cites Work

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• Riesz transforms and conjugacy for Laguerre function expansions of Hermite type
• Hardy spaces for Laguerre expansions
• A local version of real Hardy spaces
• Poisson integrals and Riesz transforms for Hermite function expansions with weights.
• Transference between Laguerre and Hermite settings
• Riesz transforms and the wave equation for the hermite operator
• A note on Schrödinger operators with polynomial potentials
• Hardy spaces associated with some Schrödinger operators
• Riesz transforms and g-function for Laguerre expansions

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