Universally \(L^1\) good sequences with gaps tending to infinity

DOI10.1007/s10474-007-6068-8zbMath1164.37001arXivmath/0601329OpenAlexW2079695210MaRDI QIDQ950311

Zoltán Buczolich

Publication date: 22 October 2008

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601329

zbMATH Keywords

ergodic theoremBanach densityuniversally good sequence

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Dynamical aspects of measure-preserving transformations (37A05) Ergodic theory of linear operators (47A35)

Related Items

Weak type \((1,1)\) inequalities for discrete rough maximal functions, Sublacunary sequences that are strong sweeping out, Grid method for divergence of averages, Weak type $(1, 1)$ estimates for maximal functions along $1$-regular sequences of integers

Cites Work

• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• Divergent square averages
• On the pointwise ergodic theorem on \(L^ p\) for arithmetic sets
• Ergodic theory and connections with analysis and probability
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