Hardy’s inequalities for the twisted convolution with Laguerre functions

In this article, two types of Hardy’s inequalities for the twisted convolution with Laguerre functions are studied. The proofs are mainly based on an estimate for the Heisenberg left-invariant vectors of the special Hermite functions deduced by the Heisenberg group approach.

Detalles Bibliográficos
Autores principales: Xiao, Jinsen, He, Jianxun
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2017
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5602437/
https://www.ncbi.nlm.nih.gov/pubmed/28983181
http://dx.doi.org/10.1186/s13660-017-1498-5
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author Xiao, Jinsen
He, Jianxun
author_facet Xiao, Jinsen
He, Jianxun
author_sort Xiao, Jinsen
collection PubMed
description In this article, two types of Hardy’s inequalities for the twisted convolution with Laguerre functions are studied. The proofs are mainly based on an estimate for the Heisenberg left-invariant vectors of the special Hermite functions deduced by the Heisenberg group approach.
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spelling pubmed-56024372017-10-03 Hardy’s inequalities for the twisted convolution with Laguerre functions Xiao, Jinsen He, Jianxun J Inequal Appl Research In this article, two types of Hardy’s inequalities for the twisted convolution with Laguerre functions are studied. The proofs are mainly based on an estimate for the Heisenberg left-invariant vectors of the special Hermite functions deduced by the Heisenberg group approach. Springer International Publishing 2017-09-15 2017 /pmc/articles/PMC5602437/ /pubmed/28983181 http://dx.doi.org/10.1186/s13660-017-1498-5 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
Xiao, Jinsen
He, Jianxun
Hardy’s inequalities for the twisted convolution with Laguerre functions
title Hardy’s inequalities for the twisted convolution with Laguerre functions
title_full Hardy’s inequalities for the twisted convolution with Laguerre functions
title_fullStr Hardy’s inequalities for the twisted convolution with Laguerre functions
title_full_unstemmed Hardy’s inequalities for the twisted convolution with Laguerre functions
title_short Hardy’s inequalities for the twisted convolution with Laguerre functions
title_sort hardy’s inequalities for the twisted convolution with laguerre functions
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5602437/
https://www.ncbi.nlm.nih.gov/pubmed/28983181
http://dx.doi.org/10.1186/s13660-017-1498-5
work_keys_str_mv AT xiaojinsen hardysinequalitiesforthetwistedconvolutionwithlaguerrefunctions
AT hejianxun hardysinequalitiesforthetwistedconvolutionwithlaguerrefunctions

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