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- W2949900427 abstract "We 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 $phi$ on an ergodic system, the sequence $phi(T^{n}x)$ is universally good for almost every $x$. The linear case was understood by Host and Kra." @default.
- W2949900427 created "2019-06-27" @default.
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- W2949900427 date "2008-11-24" @default.
- W2949900427 modified "2023-10-06" @default.
- W2949900427 title "Convergence of weighted polynomial multiple ergodic averages" @default.
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