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dc.contributor.authorOrtega-Salvador, Pedro 
dc.contributor.authorRamírez Torreblanca, Consuelo
dc.date.accessioned2024-05-24T07:08:02Z
dc.date.available2024-05-24T07:08:02Z
dc.date.issued2005-04-26
dc.identifier.citationSalvador PO, Torreblanca CR. Weighted inequalities for Cesàro maximal operators in Orlicz spaces. Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 2005;135(6):1287-1308. doi:10.1017/S0308210500004388es_ES
dc.identifier.urihttps://hdl.handle.net/10630/31380
dc.descriptionPolítica de acceso abierto tomada de: Proceedings of the Royal Society of Edinburges_ES
dc.description.abstractLet 0 < α ≤ 1 and let M+α be the Cesàro maximal operator of order α defined by In this work we characterize the pairs of measurable, positive and locally integrable functions (u, v) for which there exists a constant C > 0 such that the inequality holds for all λ > 0 and every f in the Orlicz space LΦ(v). We also characterize the measurable, positive and locally integrable functions w such that the integral inequality holds for every f LΦ(w). The discrete versions of this results allow us, by techniques of transference, to prove weighted inequalities for the Cesàro maximal ergodic operator associated with an invertible measurable transformation, T, which preserves the measure.Finally, we give sufficient conditions on w for the convergence of the sequence of Cesàro-α ergodic averages for all functions in the weighted Orlicz space LΦ(w).es_ES
dc.language.isoenges_ES
dc.publisherCambridge University Presses_ES
dc.rightsinfo:eu-repo/semantics/openAccesses_ES
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectDesigualdades (Matemáticas)es_ES
dc.subjectOrlicz, Espacios dees_ES
dc.subjectAnálisis matemáticoes_ES
dc.subject.otherOrlicz spaceses_ES
dc.subject.otherCesàro maximal operatorses_ES
dc.titleWeighted inequalities for Cesàro maximal operator in Orlicz spaces.es_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.identifier.doi10.1017/S0308210500004388
dc.rights.ccAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersiones_ES


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