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dc.contributor.author
Viola, Pablo Sebastian
dc.contributor.author
Viviani, Beatriz Eleonora
dc.date.available
2020-03-21T15:23:35Z
dc.date.issued
2014-07
dc.identifier.citation
Viola, Pablo Sebastian; Viviani, Beatriz Eleonora; Local maximal functions and operators associated to Laguerre expansions; Tohoku University; Tohoku Mathematical Journal; 66; 2; 7-2014; 155-169
dc.identifier.issn
0040-8735
dc.identifier.uri
http://hdl.handle.net/11336/100579
dc.description.abstract
In this paper we get sharp conditions on a weight v which allow us to obtain some weighted inequalities for a local Hardy-Littlewood Maximal operator defined on an open set in the Euclidean n-space. This result is applied to assure a pointwise convergence of the Laguerre heat-diffusion semigroup u(x,t) = (T(t)f)(x) to f when t tends to zero for all functions f in L p(v(x)dx) for p greater than or equal to 1 and a weight v. In proving this we obtain weighted inequalities for the maximal operator associated to the Laguerre diffusion semigroup of the Laguerre differential operator of order greater than or equal to 0. Finally, as a by-product, we obtain weighted inequalities for the Riesz-Laguerre operators.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Tohoku University
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
HEAT DIFFUSION SEMIGROUP
dc.subject
LAGUERRE
dc.subject
LAGUERRE-RIESZ TRANSFORMS
dc.subject
LOCAL MAXIMAL OPERATOR
dc.subject
WEIGHTS
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Local maximal functions and operators associated to 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
2020-03-20T20:01:57Z
dc.journal.volume
66
dc.journal.number
2
dc.journal.pagination
155-169
dc.journal.pais
Japón
dc.description.fil
Fil: Viola, Pablo Sebastian. Universidad Nacional del Centro de la Provincia de Buenos Aires. Facultad de Ciencias Exactas. Núcleo Consolidado de Matemática Pura y Aplicada; Argentina
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
Tohoku Mathematical Journal
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.2748/tmj/1404911859
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