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dc.contributor.author
Betancor, Jorge  
dc.contributor.author
Forzani, Liliana Maria  
dc.contributor.author
Scotto, Roberto Aníbal  
dc.contributor.author
Urbina, Wilfredo O.  
dc.date.available
2019-09-24T17:08:16Z  
dc.date.issued
2007-12  
dc.identifier.citation
Betancor, Jorge; Forzani, Liliana Maria; Scotto, Roberto Aníbal; Urbina, Wilfredo O.; On the maximal function for the generalized Ornstein-Uhlenbeck semigroup; Natl Inquiry Services Centre Pty Ltd; Quaestiones Mathematicae; 30; 4; 12-2007; 471-482  
dc.identifier.issn
1607-3606  
dc.identifier.uri
http://hdl.handle.net/11336/84284  
dc.description.abstract
In this note we consider the maximal function for the generalized Ornstein-Uhlenbeck semigroup in R associated with the generalized Hermite polynomials (Hμn) and prove that it is weak type (1,1) with respect to dλμ(x) = |x|2μ e−|x|2dx, for μ > –1/2 as well as bounded on Lp(dλμ) for p > 1.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Natl Inquiry Services Centre Pty Ltd  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Generalized Hermite Orthogonal Polynomials  
dc.subject
Maximal Functions  
dc.subject
Gaussian Measure  
dc.subject
Nondoubling Measures  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
On the maximal function for the generalized 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
2019-09-20T14:17:04Z  
dc.journal.volume
30  
dc.journal.number
4  
dc.journal.pagination
471-482  
dc.journal.pais
Francia  
dc.description.fil
Fil: Betancor, Jorge. Universidad de La Laguna; España  
dc.description.fil
Fil: Forzani, Liliana Maria. 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: Scotto, Roberto Aníbal. Universidad Nacional del Litoral; Argentina  
dc.description.fil
Fil: Urbina, Wilfredo O.. University of New Mexico; Estados Unidos. Universidad Central de Venezuela, Facultad de Ciencias; Venezuela  
dc.journal.title
Quaestiones Mathematicae  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.2989/16073600709486214