Pointwise estimate for the Hardy-Littlewood maximal operator on the orbits of contractive mappings

dc.creatorAimar, Hugo Alejandro
dc.creatorCarena, Marilina
dc.date.accessioned2019-09-23T12:15:50Z
dc.date.accessioned2022-10-15T04:40:29Z
dc.date.available2019-09-23T12:15:50Z
dc.date.available2022-10-15T04:40:29Z
dc.date.created2019-09-23T12:15:50Z
dc.date.issued2012-11
dc.identifierAimar, 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.identifier0022-247X
dc.identifierhttp://hdl.handle.net/11336/84075
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4345967
dc.description.abstractLet 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.languageeng
dc.publisherAcademic Press Inc Elsevier Science
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.jmaa.2012.05.087
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectHardy-Littlewood Maximal Operator
dc.subjectIterated Function Systems
dc.subjectHutchinson Orbits
dc.subjectMuckenhoupt Weights
dc.titlePointwise estimate for the Hardy-Littlewood maximal operator on the orbits of contractive mappings
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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