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dc.contributor.author
Aimar, Hugo Alejandro  
dc.contributor.author
Carena, Marilina  
dc.date.available
2019-09-23T12:15:50Z  
dc.date.issued
2012-11  
dc.identifier.citation
Aimar, Hugo Alejandro; Carena, Marilina; Pointwise estimate for the Hardy-Littlewood maximal operator on the orbits of contractive mappings; Academic Press Inc Elsevier Science; Journal of Mathematical Analysis and Applications; 395; 2; 11-2012; 626-636  
dc.identifier.issn
0022-247X  
dc.identifier.uri
http://hdl.handle.net/11336/84075  
dc.description.abstract
Let M n denote the Hardy-Littlewood maximal operator on the n-th iteration of a given iterated function system (IFS). We give sufficient conditions on the IFS in order to obtain a pointwise estimate for M n in terms of the composition of M 0 and a discrete Hardy-Littlewood type maximal operator. As a corollary we prove the uniform preservation of Muckenhoupt condition along the Hutchinson orbits induced by such an IFS.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Academic Press Inc Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
Hardy-Littlewood Maximal Operator  
dc.subject
Iterated Function Systems  
dc.subject
Hutchinson Orbits  
dc.subject
Muckenhoupt Weights  
dc.subject.classification
Matemática Pura  
dc.subject.classification
Matemáticas  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Pointwise estimate for the Hardy-Littlewood maximal operator on the orbits of contractive mappings  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-09-20T14:15:59Z  
dc.journal.volume
395  
dc.journal.number
2  
dc.journal.pagination
626-636  
dc.journal.pais
Estados Unidos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Aimar, Hugo Alejandro. 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: Carena, Marilina. 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 of Mathematical Analysis and Applications  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2012.05.087