A sharp weighted transplantation theorem for Laguerre function expansions
- Autores
- Garrigós, G.; Harboure, Eleonor Ofelia; Signes, T.; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora
- Año de publicación
- 2007
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- We find the sharp range of boundedness for transplantation operators associated with Laguerre function expansions in Lp spaces with power weights. Namely, the operators interchanging {Lkα} and {Lkβ} are bounded in Lp (yδ p) if and only if - frac(ρ, 2) - frac(1, p) < δ < 1 - frac(1, p) + frac(ρ, 2), where ρ = min {α, β}. This improves a previous partial result by Stempak and Trebels, which was only sharp for ρ ≤ 0. Our approach is based on new multiplier estimates for Hermite expansions, weighted inequalities for local singular integrals and a careful analysis of Kanjin's original proof of the unweighted case. As a consequence we obtain new results on multipliers, Riesz transforms and g-functions for Laguerre expansions in Lp (yδ p).
Fil: Garrigós, G.. Universidad Autónoma de Madrid; España
Fil: Harboure, Eleonor Ofelia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Signes, T.. Universidad de Murcia; España
Fil: Torrea Hernández, José Luis. Universidad Autónoma de Madrid; España
Fil: Viviani, Beatriz Eleonora. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina - Materia
-
Laguerre Function
Weighted Inequalities
Transplantation Theorem - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/84071
Ver los metadatos del registro completo
id |
CONICETDig_d2181da0bbcae18db46caac4dfeab19c |
---|---|
oai_identifier_str |
oai:ri.conicet.gov.ar:11336/84071 |
network_acronym_str |
CONICETDig |
repository_id_str |
3498 |
network_name_str |
CONICET Digital (CONICET) |
spelling |
A sharp weighted transplantation theorem for Laguerre function expansionsGarrigós, G.Harboure, Eleonor OfeliaSignes, T.Torrea Hernández, José LuisViviani, Beatriz EleonoraLaguerre FunctionWeighted InequalitiesTransplantation Theoremhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We find the sharp range of boundedness for transplantation operators associated with Laguerre function expansions in Lp spaces with power weights. Namely, the operators interchanging {Lkα} and {Lkβ} are bounded in Lp (yδ p) if and only if - frac(ρ, 2) - frac(1, p) < δ < 1 - frac(1, p) + frac(ρ, 2), where ρ = min {α, β}. This improves a previous partial result by Stempak and Trebels, which was only sharp for ρ ≤ 0. Our approach is based on new multiplier estimates for Hermite expansions, weighted inequalities for local singular integrals and a careful analysis of Kanjin's original proof of the unweighted case. As a consequence we obtain new results on multipliers, Riesz transforms and g-functions for Laguerre expansions in Lp (yδ p).Fil: Garrigós, G.. Universidad Autónoma de Madrid; EspañaFil: Harboure, Eleonor Ofelia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Signes, T.. Universidad de Murcia; EspañaFil: Torrea Hernández, José Luis. Universidad Autónoma de Madrid; EspañaFil: Viviani, Beatriz Eleonora. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaAcademic Press Inc Elsevier Science2007-03info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/84071Garrigós, G.; Harboure, Eleonor Ofelia; Signes, T.; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; A sharp weighted transplantation theorem for Laguerre function expansions; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 244; 1; 3-2007; 247-2760022-1236CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.jfa.2006.11.019info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:10:04Zoai:ri.conicet.gov.ar:11336/84071instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-10-22 11:10:04.346CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
A sharp weighted transplantation theorem for Laguerre function expansions |
title |
A sharp weighted transplantation theorem for Laguerre function expansions |
spellingShingle |
A sharp weighted transplantation theorem for Laguerre function expansions Garrigós, G. Laguerre Function Weighted Inequalities Transplantation Theorem |
title_short |
A sharp weighted transplantation theorem for Laguerre function expansions |
title_full |
A sharp weighted transplantation theorem for Laguerre function expansions |
title_fullStr |
A sharp weighted transplantation theorem for Laguerre function expansions |
title_full_unstemmed |
A sharp weighted transplantation theorem for Laguerre function expansions |
title_sort |
A sharp weighted transplantation theorem for Laguerre function expansions |
dc.creator.none.fl_str_mv |
Garrigós, G. Harboure, Eleonor Ofelia Signes, T. Torrea Hernández, José Luis Viviani, Beatriz Eleonora |
author |
Garrigós, G. |
author_facet |
Garrigós, G. Harboure, Eleonor Ofelia Signes, T. Torrea Hernández, José Luis Viviani, Beatriz Eleonora |
author_role |
author |
author2 |
Harboure, Eleonor Ofelia Signes, T. Torrea Hernández, José Luis Viviani, Beatriz Eleonora |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
Laguerre Function Weighted Inequalities Transplantation Theorem |
topic |
Laguerre Function Weighted Inequalities Transplantation Theorem |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
We find the sharp range of boundedness for transplantation operators associated with Laguerre function expansions in Lp spaces with power weights. Namely, the operators interchanging {Lkα} and {Lkβ} are bounded in Lp (yδ p) if and only if - frac(ρ, 2) - frac(1, p) < δ < 1 - frac(1, p) + frac(ρ, 2), where ρ = min {α, β}. This improves a previous partial result by Stempak and Trebels, which was only sharp for ρ ≤ 0. Our approach is based on new multiplier estimates for Hermite expansions, weighted inequalities for local singular integrals and a careful analysis of Kanjin's original proof of the unweighted case. As a consequence we obtain new results on multipliers, Riesz transforms and g-functions for Laguerre expansions in Lp (yδ p). Fil: Garrigós, G.. Universidad Autónoma de Madrid; España Fil: Harboure, Eleonor Ofelia. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina Fil: Signes, T.. Universidad de Murcia; España Fil: Torrea Hernández, José Luis. Universidad Autónoma de Madrid; España Fil: Viviani, Beatriz Eleonora. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina |
description |
We find the sharp range of boundedness for transplantation operators associated with Laguerre function expansions in Lp spaces with power weights. Namely, the operators interchanging {Lkα} and {Lkβ} are bounded in Lp (yδ p) if and only if - frac(ρ, 2) - frac(1, p) < δ < 1 - frac(1, p) + frac(ρ, 2), where ρ = min {α, β}. This improves a previous partial result by Stempak and Trebels, which was only sharp for ρ ≤ 0. Our approach is based on new multiplier estimates for Hermite expansions, weighted inequalities for local singular integrals and a careful analysis of Kanjin's original proof of the unweighted case. As a consequence we obtain new results on multipliers, Riesz transforms and g-functions for Laguerre expansions in Lp (yδ p). |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-03 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/84071 Garrigós, G.; Harboure, Eleonor Ofelia; Signes, T.; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; A sharp weighted transplantation theorem for Laguerre function expansions; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 244; 1; 3-2007; 247-276 0022-1236 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/84071 |
identifier_str_mv |
Garrigós, G.; Harboure, Eleonor Ofelia; Signes, T.; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; A sharp weighted transplantation theorem for Laguerre function expansions; Academic Press Inc Elsevier Science; Journal of Functional Analysis; 244; 1; 3-2007; 247-276 0022-1236 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jfa.2006.11.019 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Academic Press Inc Elsevier Science |
publisher.none.fl_str_mv |
Academic Press Inc Elsevier Science |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
_version_ |
1846781457333223424 |
score |
12.982451 |