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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
2020-03-21T21:22:50Z  
dc.date.issued
2003-12  
dc.identifier.citation
Harboure, Eleonor Ofelia; Torrea Hernández, José Luis; Viviani, Beatriz Eleonora; Vector-valued extensions of operators related to the Ornstein-Uhlenbeck semigroup; Springer; Journal d'Analyse Mathématique; 91; 12-2003; 1-29  
dc.identifier.issn
0021-7670  
dc.identifier.uri
http://hdl.handle.net/11336/100593  
dc.description.abstract
We find necessary and sufficient conditions on a Banach space X in order for the vector-valued extensions of several operators associated to the Ornstein-Uhlenbeck semigroup to be of weak type (1,1) or strong type (p,p) in the range 1 < p < ∞. In this setting, we consider the Riesz transforms and the Littlewood-Paley g-functions. We also deal with vector-valued extensions of some maximal operators like the maximal operators of the Ornstein-Uhlenbeck and the corresponding Poisson semigroups and the maximal function with respect to the gaussian measure. In all cases, we show that the condition on X is the same as that required for the corresponding harmonic operator: UMD, Lusin cotype 2 and Hardy-Littlewood property. In doing so, we also find some new equivalences even for the harmonic case.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Springer  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Vector value operator  
dc.subject
UMD, Lusin cotype 2 and Hardy-Littlewood  
dc.subject
Orstein -Uhlenbeck  
dc.subject.classification
Otras Matemáticas  
dc.subject.classification
Matemáticas  
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CIENCIAS NATURALES Y EXACTAS  
dc.title
Vector-valued extensions of operators related to the Ornstein-Uhlenbeck semigroup  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2020-03-20T20:03:11Z  
dc.journal.volume
91  
dc.journal.pagination
1-29  
dc.journal.pais
Alemania  
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
Journal d'Analyse Mathématique  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/BF02788780