Higher order Riesz transforms for Hermite expansions

In this paper, we consider the Riesz transform of higher order associated with the harmonic oscillator [Formula: see text] , where Δ is the Laplacian on [Formula: see text] . Moreover, the boundedness of Riesz transforms of higher order associated with Hermite functions on the Hardy space is proved....

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Detalles Bibliográficos
Autor principal: Huang, Jizheng
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5415629/
https://www.ncbi.nlm.nih.gov/pubmed/28529436
http://dx.doi.org/10.1186/s13660-017-1376-1
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author Huang, Jizheng
author_facet Huang, Jizheng
author_sort Huang, Jizheng
collection PubMed
description In this paper, we consider the Riesz transform of higher order associated with the harmonic oscillator [Formula: see text] , where Δ is the Laplacian on [Formula: see text] . Moreover, the boundedness of Riesz transforms of higher order associated with Hermite functions on the Hardy space is proved.
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spelling pubmed-54156292017-05-19 Higher order Riesz transforms for Hermite expansions Huang, Jizheng J Inequal Appl Research In this paper, we consider the Riesz transform of higher order associated with the harmonic oscillator [Formula: see text] , where Δ is the Laplacian on [Formula: see text] . Moreover, the boundedness of Riesz transforms of higher order associated with Hermite functions on the Hardy space is proved. Springer International Publishing 2017-05-03 2017 /pmc/articles/PMC5415629/ /pubmed/28529436 http://dx.doi.org/10.1186/s13660-017-1376-1 Text en © The Author(s) 2017 Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
spellingShingle Research
Huang, Jizheng
Higher order Riesz transforms for Hermite expansions
title Higher order Riesz transforms for Hermite expansions
title_full Higher order Riesz transforms for Hermite expansions
title_fullStr Higher order Riesz transforms for Hermite expansions
title_full_unstemmed Higher order Riesz transforms for Hermite expansions
title_short Higher order Riesz transforms for Hermite expansions
title_sort higher order riesz transforms for hermite expansions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5415629/
https://www.ncbi.nlm.nih.gov/pubmed/28529436
http://dx.doi.org/10.1186/s13660-017-1376-1
work_keys_str_mv AT huangjizheng higherorderriesztransformsforhermiteexpansions

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