Pointwise cubic average for two commuting transformations
Author
dc.contributor.author
Donoso Fuentes, Sebastián
Author
dc.contributor.author
Wenbo, Sun
Admission date
dc.date.accessioned
2017-10-19T18:32:17Z
Available date
dc.date.available
2017-10-19T18:32:17Z
Publication date
dc.date.issued
2016-10
Cita de ítem
dc.identifier.citation
Israel Journal of Mathematics 216 (2016), 657–678
es_ES
Identifier
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10.1007/s11856-016-1423-5
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/145302
Abstract
dc.description.abstract
Huang, Shao and Ye recently studied pointwise multiple averages by using suitable topological models. Using a notion of dynamical cubes introduced by the authors, the Huang-Shao-Ye technique and the Host machinery of magic systems, we prove that for a system (X, A mu, S, T) with commuting transformations S and T, the average converges a.e. as N goes to infinity for any f (0), f (1), f (2) a L (a)(A mu). converges a.e. as N goes to infinity for any f(0), f(1), f(2) is an element of L-infinity(mu).