Convergence of weighted polynomial multiple ergodic averages

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dc.creatorChu, Qing
dc.date2008-02-21
dc.date2008-11-24
dc.date.accessioned2026-07-07T10:19:56Z
dc.date.available2026-07-07T10:19:56Z
dc.descriptionWe study here weighted polynomial multiple ergodic averages. A sequence of weights is called universally good if any polynomial multiple ergodic average with this sequence of weights converges in $L^{2}$. We find a necessary condition and show that for any bounded measurable function $ϕ$ on an ergodic system, the sequence $ϕ(T^{n}x)$ is universally good for almost every $x$. The linear case was understood by Host and Kra.
dc.identifierhttps://arxiv.org/abs/0802.3138
dc.identifierhttp://arxiv.org/abs/0802.3138
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/174689
dc.subjectDynamical Systems
dc.subject37A05, 37A30
dc.titleConvergence of weighted polynomial multiple ergodic averages
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