The ergodic Hilbert transform for Cesàro bounded flows

DOI10.2748/tmj/1178225679zbMath0813.28005OpenAlexW2007581619MaRDI QIDQ1345470

María Lorente Domínguez, Francisco Javier Martín-Reyes

Publication date: 28 May 1995

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225679

zbMATH Keywords

ergodic Hilbert transformergodic maximal operatorCesàro bounded flowsMuckenhoupt's weights

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Maximal functions, Littlewood-Paley theory (42B25)

Related Items (5)

Non-uniform Kozlov–Treschev averagings in the ergodic theorem ⋮ Weighted inequalities for the two-dimensional one-sided Hardy-Littlewood maximal function ⋮ The convergence in \(L^1\) of singular integrals in harmonic analysis and ergodic theory ⋮ Ergodic theorems for Cesàro bounded operators in \(L^1\) ⋮ Mean-boundedness and Littlewood-Paley for separation-preserving operators

Cites Work

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• Distributional control and generalized analyticity
• Constructive Decomposition of BMO Functions and Factorization of A p Weights
• Another Characterization of BMO
• On the convergence in L¹ of singular integrals
• Weighted norm inequalities for maximal functions and singular integrals
• The Dominated Ergodic Estimate for Mean Bounded, Invertible, Positive Operators
• Weighted Norm Inequalities for the Hardy Maximal Function

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