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Strong bounded operators for ergodic averages and Lebesgue derivatives

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Publication:3558039
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DOI10.1017/S0143385709000224zbMath1185.37007MaRDI QIDQ3558039

Chaoyuan Liu

Publication date: 29 April 2010

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



Mathematics Subject Classification ID

Dynamical aspects of measure-preserving transformations (37A05) Ergodic theorems, spectral theory, Markov operators (37A30)




Cites Work

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  • Weak-\(L^\infty\) and BMO
  • The \(p\)-variation of partial sum processes and the empirical process
  • Oscillation in ergodic theory: Higher dimensional results
  • Fourier multipliers for \(L_ p (\mathbb{R}^ n)\) via \(q\)-variation
  • \(H^p\) spaces of several variables
  • Oscillation inequalities for rectangles
  • Oscillation in ergodic theory
  • One-sided discrete square function
  • Square functions in ergodic theory
  • Characterizing strong estimates
  • ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
  • Some Maximal Inequalities
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