Oscillation inequalities for rectangles

DOI10.1090/S0002-9939-00-06032-9zbMath1025.42009MaRDI QIDQ2701627

Roger L. Jones, Máté Wierdl, Joseph Max Rosenblatt

Publication date: 19 February 2001

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

oscillationsupcrossing inequalitiessquare functions

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25) General groups of measure-preserving transformations and dynamical systems (37A15)

Related Items (14)

Jump and variational inequalities for rough operators ⋮ Generalized Orlicz-type slice spaces, extrapolation and applications ⋮ Two-parameter version of Bourgain's inequality: rational frequencies ⋮ On a multi-parameter variant of the Bellow–Furstenberg problem ⋮ The \(L^2\)-boundedness of the variational Calderón-Zygmund operators ⋮ On Templeman averages and variation functions ⋮ Oscillation inequalities in ergodic theory and analysis: one-parameter and multi-parameter perspectives ⋮ Weighted jump and variational inequalities for rough operators ⋮ Oscillation in ergodic theory: Higher dimensional results ⋮ Strong variational and jump inequalities in harmonic analysis ⋮ Strong bounded operators for ergodic averages and Lebesgue derivatives ⋮ Variational inequalities for the commutators of rough operators with BMO functions ⋮ Jump and variational inequalities for averaging operators with variable kernels ⋮ Oscillation estimates for truncated singular Radon operators

Cites Work

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• Fluctuations of ergodic averages
• Oscillation in ergodic theory: Higher dimensional results
• Oscillation in ergodic theory
• Square functions in ergodic theory
• Counting in Ergodic Theory
• ERGODIC THEORY AND TRANSLATION-INVARIANT OPERATORS
• Some Maximal Inequalities

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