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On the convergence of multiple ergodic means

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Publication:2090599
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MaRDI QIDQ2090599

Vahan A. Martirosyan, Michael T. Lacey, Grigori A. Karagulyan

Publication date: 25 October 2022

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.00215


zbMATH Keywords

ergodic theoremsstrong maximal functionmultiple ergodic sums


Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Maximal functions, Littlewood-Paley theory (42B25) Ergodic theorems, spectral theory, Markov operators (37A30) Relations between ergodic theory and harmonic analysis (37A46)


Related Items (1)

A spectral criterion for power-law convergence rate in the ergodic theorem for \({ \mathbb{Z} }^d\) and \({ \mathbb{R} }^d\) actions







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