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dc.contributor.author Donoso, S
dc.contributor.author Koutsogiannis, A
dc.contributor.author Sun, WB
dc.date.accessioned 2024-01-17T15:55:16Z
dc.date.available 2024-01-17T15:55:16Z
dc.date.issued 2020
dc.identifier.uri https://repositorio.uoh.cl/handle/611/761
dc.description.abstract For any measure-preserving system. X; B; ; T1; : : :; Td / with no commutativity assumptions on the transformations Ti; 1 i d; we study the pointwise convergence of multiple ergodic averages with iterates of different growth coming from a large class of sublinear functions. This class properly contains important subclasses of Hardy field functions of order zero and of Fej ' er functions, i.e., tempered functions of order zero. We show that the convergence of the single average, via an invariant property, implies the convergence of the multiple one. We also provide examples of sublinear functions which are, in general, bad for convergence on arbitrary systems, but good for uniquely ergodic systems. The case where the fastest function is linear is addressed as well, and we provide, in all the cases, an explicit formula of the limit function.
dc.description.sponsorship Fondecyt(Comision Nacional de Investigacion Cientifica y Tecnologica (CONICYT)CONICYT FONDECYT)
dc.relation.uri http://dx.doi.org/10.1017/etds.2018.118
dc.subject pointwise convergence
dc.subject multiple averages
dc.subject sublinear functions
dc.subject Fejer functions
dc.subject Hardy functions
dc.title Pointwise multiple averages for sublinear functions
dc.type Artículo
uoh.revista ERGODIC THEORY AND DYNAMICAL SYSTEMS
dc.identifier.doi 10.1017/etds.2018.118
dc.citation.volume 40
dc.citation.issue 6
dc.identifier.orcid Donoso, Sebastian/0000-0001-9870-7984
dc.identifier.orcid Donoso, Sebastián/0000-0001-9870-7984
uoh.indizacion Web of Science


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