On the a.s. convergence of the one-sided ergodic Hilbert transform

DOI10.1017/S0143385708001016zbMath1185.37006MaRDI QIDQ3650298

Christophe Cuny

Publication date: 14 December 2009

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

zbMATH Keywords

one-sided ergodic Hilbert transformDunford-Schwarz operator

Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05)

Related Items (11)

Bernstein functions and rates in mean ergodic theorems for operator semigroups ⋮ On the rate of convergence of weighted oscillating ergodic averages ⋮ Convergence of series of conditional expectations ⋮ Everywhere divergence of one-sided ergodic Hilbert transform ⋮ Almost everywhere convergence of ergodic series ⋮ On the convergence of the rotated one-sided ergodic Hilbert transform ⋮ Some optimal pointwise ergodic theorems with rate ⋮ Weighted strong laws of large numbers on variable exponent vector-valued Lebesgue spaces ⋮ Weighted laws of large numbers and convergence of weighted ergodic averages on vector valued \(L_p\)-spaces ⋮ POINTWISE ERGODIC THEOREMS WITH RATE WITH APPLICATIONS TO LIMIT THEOREMS FOR STATIONARY PROCESSES ⋮ Weighted Birkhoff ergodic theorem with oscillating weights

Cites Work

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• Counterexamples in ergodic theory and number theory
• Some Examples in Ergodic Theory
• A Pointwise Ergodic Theorem in L_p-Spaces
• Spectral Criteria for Existence ofGeneralized Ergodic Transforms
• A non-homogeneous ergodic theorem
• A Non Homogeneous Ergodic Theorem
• Fractional Poisson equations and ergodic theorems for fractional coboundaries

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