Weak type $(1, 1)$ estimates for maximal functions along $1$-regular sequences of integers

DOI10.4064/sm200702-21-12zbMath1484.37009arXiv2012.10416OpenAlexW3165540361MaRDI QIDQ5015403

Bartosz Trojan

Publication date: 7 December 2021

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.10416

zbMATH Keywords

ergodic averagesweak-type estimates1-regular sequences

Mathematics Subject Classification ID

Ergodic theorems, spectral theory, Markov operators (37A30) Relations between ergodic theory and number theory (37A44)

Related Items (3)

On maximal function of discrete rough truncated Hilbert transforms ⋮ Sublacunary sequences that are strong sweeping out ⋮ Grid method for divergence of averages

Cites Work

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• Weak type \((1,1)\) inequalities for discrete rough maximal functions
• Pointwise ergodic theorems for arithmetic sets. With an appendix on return-time sequences, jointly with Harry Furstenberg, Yitzhak Katznelson and Donald S. Ornstein
• Universally \(L^1\) good sequences with gaps tending to infinity
• Divergent square averages
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS

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