Quantitative norm convergence of double ergodic averages associated with two commuting group actions

DOI10.1017/etds.2014.87zbMath1358.37006arXiv1405.3499OpenAlexW2119391771MaRDI QIDQ2805062

Vjekoslav Kovač

Publication date: 9 May 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.3499

zbMATH Keywords

multiple ergodic averagesmeasure-preserving actions\(L^p\) norm-variation estimate

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodicity, mixing, rates of mixing (37A25) Ergodic theory on groups (22D40) Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Analysis on ordered groups, (H^p)-theory (43A17)

Related Items (3)

Boundedness of some multi-parameter fiber-wise multiplier operators ⋮ Norm variation of ergodic averages with respect to two commuting transformations ⋮ T(1) theorem for dyadic singular integral forms associated with hypergraphs

Cites Work

• Norm convergence of nilpotent ergodic averages
• An ergodic Szemerédi theorem for commuting transformations
• Pointwise theorems for amenable groups.
• Boundedness of the twisted paraproduct
• Bellman function technique for multilinear estimates and an application to generalized paraproducts
• On groups with full Banach mean value
• On the two-dimensional bilinear Hilbert transform
• On the norm convergence of non-conventional ergodic averages
• Théorèmes ergodiques pour des mesures diagonales
• Oscillation in ergodic theory
• A Roth theorem for amenable groups.
• Proof of the Quasi-Ergodic Hypothesis
• A Carleson type theorem for a Cantor group model of the scattering transform
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS

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