The \((L^1,L^1)\) bilinear Hardy-Littlewood function and Furstenberg averages

DOI10.4171/RMI/619zbMath1213.37006arXiv0804.1949OpenAlexW2963512171MaRDI QIDQ616599

Idris Assani, Zoltán Buczolich

Publication date: 10 January 2011

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.1949

zbMATH Keywords

Hardy-Littlewood maximal functionFurstenberg averages

Mathematics Subject Classification ID

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

Related Items (2)

The \((L^p,L^q)\) bilinear Hardy-Littlewood function for the tail ⋮ A dominated ergodic theorem for some bilinear averages

Cites Work

• Unnamed Item
• Ergodic behavior of diagonal measures and a theorem of Szemeredi on arithmetic progressions
• On Calderón's conjecture
• The bilinear maximal functions map into \(L^p\) for \(2/3 < p \leq 1\)
• Maximal multilinear operators
• Divergence of combinatorial averages and the unboundedness of the trilinear Hilbert transform
• A maximal inequality for the tail of the bilinear Hardy-Littlewood function
• Double recurrence and almost sure convergence.

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