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dc.contributor.author
Harboure, Eleonor Ofelia
dc.contributor.author
Torrea Hernández, José Luis
dc.contributor.author
Viviani, Beatriz Eleonora
dc.date.available
2019-09-23T12:13:26Z
dc.date.issued
2006-12
dc.identifier.citation
Harboure, Eleonor Ofelia; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; Riesz transforms for laguerre expansions; Indiana University; Indiana University Mathematics Journal; 55; 3; 12-2006; 999-1014
dc.identifier.issn
0022-2518
dc.identifier.uri
http://hdl.handle.net/11336/84074
dc.description.abstract
We analyze boundedness properties of some operators related to the heat-diffusion semigroup associated to Laguerre functions systems. In particular, for any α > -1, we introduce appropriate Laguerre Riesz Transforms and we obtain power-weighted V inequalities, 1 < p < ∞. We achieve this result by taking advantage of the existing classical relationship between n-variable Hermite polynomials and Laguerre polynomials on the half line of type α = n/2 - 1. Such connection allows us to transfer known boundedness properties for Hermite operators to Laguerre operators corresponding to those specific values of α. To extend the results to any α > -1, we make use of transplantation and some weighted inequalities we obtain in the Hermite setting (which we believe of independent interest).
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Indiana University
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Laguerre Functions Systems
dc.subject
Riesz Transforms
dc.subject
Weighted Inequalities
dc.subject.classification
Otras Matemáticas
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Riesz transforms for laguerre expansions
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-09-20T14:17:23Z
dc.journal.volume
55
dc.journal.number
3
dc.journal.pagination
999-1014
dc.journal.pais
Estados Unidos
dc.description.fil
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
dc.description.fil
Fil: Torrea Hernández, José Luis. Universidad Autónoma de Madrid; España
dc.description.fil
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
dc.journal.title
Indiana University Mathematics Journal
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1512/iumj.2006.55.2650
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