Lower bound of the supremum of ergodic averages for Zd AND Rd-actions

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Abstract

For ergodic Zd and Rd-actions, we obtain a pointwise lower bound for the supremum of ergodic averages. For Zd-actions in the case when the supremum is taken over multi-indices exceeding n→ located in a certain sector, the resulting inequality is not improvable over n→ in the class of all averaging integrable functions.

Original languageEnglish
Pages (from-to)626-636
Number of pages11
JournalСибирские электронные математические известия
Volume17
DOIs
Publication statusPublished - 24 Apr 2020

Keywords

  • Individual ergodic theorem
  • Rates of convergence in ergodic theorems
  • Wiener-wintner ergodic theorem
  • individual ergodic theorem
  • Wiener-Wintner ergodic theorem
  • CONVERGENCE
  • rates of convergence in ergodic theorems

OECD FOS+WOS

  • 1.01 MATHEMATICS

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