Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions

We prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained. © 2004 Elsevier B.V. All rights reserved.

Detalles Bibliográficos
Autores: Ciaurri, O. [0000-0002-1695-3311], Varona, J.L. [0000-0002-2023-9946]
Tipo de recurso: artículo
Estado:Versión aceptada para publicación
Fecha de publicación:2005
País:España
Institución:Universidad de La Rioja (UR)
Repositorio:RIUR. Repositorio Institucional de la Universidad de La Rioja
OAI Identifier:oai:portal.dialnet.es:doc/5bbc69c6b750603269e82140
Acceso en línea:https://investigacion.unirioja.es/documentos/5bbc69c6b750603269e82140
Access Level:acceso abierto
Palabra clave:Cesàro means
Generalized Hermite expansions
Generalized Hermite polynomials
Hermite expansions
Hermite polynomials
Nørlund means
Two-weight norm inequalities
Weighted norm inequalities
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spelling Two-weight norm inequalities for the Cesàro means of generalized Hermite expansionsCiaurri, O. [0000-0002-1695-3311]Varona, J.L. [0000-0002-2023-9946]Cesàro meansGeneralized Hermite expansionsGeneralized Hermite polynomialsHermite expansionsHermite polynomialsNørlund meansTwo-weight norm inequalitiesWeighted norm inequalitiesWe prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained. © 2004 Elsevier B.V. All rights reserved.2005info:eu-repo/semantics/articleSubtype: Articleinfo:eu-repo/semantics/acceptedVersionapplication/pdfhttps://investigacion.unirioja.es/documentos/5bbc69c6b750603269e82140reponame:RIUR. Repositorio Institucional de la Universidad de La Riojainstname:Universidad de La Rioja (UR)Inglésinfo:eu-repo/semantics/altIdentifier/doi/10.1016/J.CAM.2004.03.027info:eu-repo/semantics/altIdentifier/wos/WOS:000228030600009info:eu-repo/semantics/altIdentifier/pissn/0377-0427Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions, 2005, vol. 178, núm. 1-2, pág. 99-110info:eu-repo/semantics/openAccessoai:portal.dialnet.es:doc/5bbc69c6b750603269e821402026-06-14T12:47:17Z
dc.title.none.fl_str_mv Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions
title Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions
spellingShingle Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions
Ciaurri, O. [0000-0002-1695-3311]
Cesàro means
Generalized Hermite expansions
Generalized Hermite polynomials
Hermite expansions
Hermite polynomials
Nørlund means
Two-weight norm inequalities
Weighted norm inequalities
title_short Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions
title_full Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions
title_fullStr Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions
title_full_unstemmed Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions
title_sort Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions
dc.creator.none.fl_str_mv Ciaurri, O. [0000-0002-1695-3311]
Varona, J.L. [0000-0002-2023-9946]
author Ciaurri, O. [0000-0002-1695-3311]
author_facet Ciaurri, O. [0000-0002-1695-3311]
Varona, J.L. [0000-0002-2023-9946]
author_role author
author2 Varona, J.L. [0000-0002-2023-9946]
author2_role author
dc.subject.none.fl_str_mv Cesàro means
Generalized Hermite expansions
Generalized Hermite polynomials
Hermite expansions
Hermite polynomials
Nørlund means
Two-weight norm inequalities
Weighted norm inequalities
topic Cesàro means
Generalized Hermite expansions
Generalized Hermite polynomials
Hermite expansions
Hermite polynomials
Nørlund means
Two-weight norm inequalities
Weighted norm inequalities
description We prove two-weight norm inequalities for Cesàro means of generalized Hermite polynomial series and for the supremum of these means. A result about weak boundedness and an almost everywhere convergence result are also obtained. © 2004 Elsevier B.V. All rights reserved.
publishDate 2005
dc.date.none.fl_str_mv 2005
dc.type.none.fl_str_mv info:eu-repo/semantics/article
Subtype: Article
info:eu-repo/semantics/acceptedVersion
format article
status_str acceptedVersion
dc.identifier.none.fl_str_mv https://investigacion.unirioja.es/documentos/5bbc69c6b750603269e82140
url https://investigacion.unirioja.es/documentos/5bbc69c6b750603269e82140
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/J.CAM.2004.03.027
info:eu-repo/semantics/altIdentifier/wos/WOS:000228030600009
info:eu-repo/semantics/altIdentifier/pissn/0377-0427
Two-weight norm inequalities for the Cesàro means of generalized Hermite expansions, 2005, vol. 178, núm. 1-2, pág. 99-110
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.source.none.fl_str_mv reponame:RIUR. Repositorio Institucional de la Universidad de La Rioja
instname:Universidad de La Rioja (UR)
instname_str Universidad de La Rioja (UR)
reponame_str RIUR. Repositorio Institucional de la Universidad de La Rioja
collection RIUR. Repositorio Institucional de la Universidad de La Rioja
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